NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!! Chapt 15 part 2a
Explain the process of matrix multiplication. What are the dimensions 9f of the resulting matrix? Use the following matrices for your explanation of the process. AB. Show your work.
Answers
We are given the matrices A and B
[tex]A = \left[\begin{array}{ccc}2&3&-1\\0&2&5\\2&4&0\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}2\\1\\2\end{array}\right][/tex]
Multiplying these matrices:
We multiply matrices by taking the first column of the first matrix and the first row of the second matrix
we will multiply all the terms of the first column of the first matrix and multiply them by the terms of the first row of the second matrix, one by one
[tex]AB = \left[\begin{array}{ccc}2(2) + 3(1) + -1(2)\\0(2) + 2(1) + 5(2)\\2(2) + 4(1) + 0(2)\end{array}\right][/tex]
[tex]AB = \left[\begin{array}{ccc}5\\12\\8\end{array}\right][/tex]
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Explanation:
Two matrices with dimensions (numbers of (rows, columns)) of (a, b) and (c, d) can only be multiplied if the number of columns in the left matrix is equal to the number of rows in the right matrix. That is, b=c. The dimensions of the product matrix will be (a, d).
For row i of the left matrix and column j of the right matrix, element a(i,j) of the product matrix is the dot-product of row i with column j. (The dot-product of two vectors is the sum of the products of corresponding elements.)
__
The example matrices have (row, column) dimensions (3, 3) and (3, 1), so can be multiplied with a result having dimensions (3, 1).
It is useful to refer to an element of a matrix by specifying the row and column in which it resides. An element of matrix 'A' in row 2 and column 3 can be referred to as A(2,3). Often, subscripts are used, as in ...
[tex]A_{i,j}[/tex]
For matrix C = A·B, the element C(1,1) will be the sum ...
A(1,1)B(1,1) +A(1,2)B(2,1) +A(1,3)B(3,1)
Calculators, apps, spreadsheets, and web sites are available that will perform this arithmetic for you. It can be a bit tedious to do by hand.
Here the product is ...
[tex]A\cdot B=\left[\begin{array}{ccc}2&3&-1\\0&2&5\\2&4&0\end{array}\right] \cdot\left[\begin{array}{c}2&1&2\end{array}\right] =\left[\begin{array}{c}2(2)+3(1)+(-1)(2)&0(2)+2(1)+5(2)&2(2)+4(1)+0(2)\end{array}\right] \\\\=\left[\begin{array}{c}5&12&8\end{array}\right][/tex]
Related Questions
this is the question of geometry can you solve this for me ☺️
Answers
Answer:
x = 130 degrees
Step-by-step explanation:
let's imagine we move the point x further and further to the right (and move the connected lines with it) until we get a flat line that connects the two parallel lines.
in this case we have x = 180 degrees, and the top and bottom angles are both 90 degrees.
so, we have a total of all angles of 180 + 90 + 90 = 360 degrees.
this total had to stay the same no matter how we move x outward or inward.
so, even in the situation in the picture the sum of all 3 angles must be 360 degrees.
therefore we get
360 = 120 + 110 + x
360 = 230 + x
x = 130 degrees
Which equation is represented by the graph below?
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The product of 87(10000)
Answers
Answer:
870,000
Step-by-step explanation:
When multiplying the two you add as many 0's to 87 as there are in 10,000
What's the measure of an arc with a central angle of 90°?
1) 90°
2) 360°
3) T°
4) 180°
Answers
Answer:
1.) 90° degrees becausemeasure of an arc is equal to the measure of an arc's central angle.
A rope that is 6 meters long will be cut into 24 pieces that are all of the same lengths. What will the length of each piece, in centimeters? (Note: 100 centimeters = 1 meter)
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Answer: 25 cm
Step-by-step explanation: 6 meters = 600 cm
600 / 24 = 25
is x^2 + 1 a polynomial
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Answer: Answer: x^2 - 1 is not a polynomial as after simplifying it there will be no variable.
Step-by-step explanation:
Given the formula a=b+c, rewrite the formula to solve for c
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Answer:
c = a - b
Step-by-step explanation:
Subtract b from both sides of the equation.
a = b + c
a - b = b + c - b . . . . . show the subtraction
a - b = c . . . . . . . . . . simplify
c = a - b . . . . . . write with c on the left
Find y when x = 4 (30 points)
Answers
Answer:
y = 54/25
Step-by-step explanation:
y = p×q^(x-1)
when x = 1 then y = 10
so,
10 = p×q^(1-1)
or, 10 = p×1
or, p = 10
when x = 6 then y = 0.7776
0.7776=p×q^(6-1)
or, 0.7776=p×q^5
or, 0.7776=10×q⁵
[0.7776 = 7776/10000 = 486/625]
or, 486/625 = 10×q⁵
or, 486/6250=q⁵
or, [tex] \frac{ \sqrt[5]{486} }{ \sqrt[5]{6250} } = q[/tex]
or, [tex]q = \frac{3 \sqrt[5]{2} }{5 \sqrt[5]{2} } [/tex]
or, q = 3/5
so, when x = 4
y = p×q^(x-1)
y = 10×(3/5)^(4-1)
y = 10×(3/5)^3
y = 10×27/125
y = 54/25
Please help me to find this answer
Answers
Step-by-step explanation:
angle of a triangle is 180, therefore to get the remaining one, subtract the sum of the two knows from 180, also for the second one; angle on a straight line is as well 180, since you have fine the interior one, subtract it from 180 to get the second answer
Answer:
so angles in a triangle add up to 180,
32+50+m<MQP=180
82+m<MQP=180
m<MQP=180-82
=98°
and angles on a straight line add up to 180 therefore
m<MQR=180-m<MQP
=180-98
=82
I hope this helps and if you don't understand feel free to ask
Find 14.6 + 8.52
I really need help !!!!
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Answer:
[tex]14.6 + 8.52 \\ = 23.12[/tex]
The midpoint of AB is (1.2). The coordinates of A are (-3, 6) Find the coordinates of B.
Answers
Answer: coordinates of B are (5,-2)
Step-by-step explanation:
let B be (x2,y2)
x1 = -3 y1 = 6
x = 1
y = 2
so
x = (x2 + x1)/2
1 = (x2+(-3))/2
or, 2 = x2 - 3
so, x2 = 5
now
y = (y2+y1)/2
or, 2 = (y2 + 6)/2
or, 4 = y2 + 6
so, y2 = -2
YOU THE REAL OG
IF YOU CAN DO THIS FOR ME
YES IT IS HAIKU
How much would you need to deposit in an account each month in order to have $50,000 in the account in 8 years? Assume the account earns 4% annual interest compounded monthly.
THANK YOU TO ANY OG WHO CAN SOLVE THIS , BRAINLIEST GUARANTEE TO ANYONE WHO REALLY TRIES
Answers
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Answer:
$442.80
Step-by-step explanation:
The formula for the amount of an ordinary annuity is ...
A = P(12/r)((1 +r/12)^(12t) -1)
where payment P is made n times per year and interest is accrued at annual rate r.
Filling in the given values, we want ...
50,000 = P(12/0.04)(1 +0.04/12)^(12·8) -1) = 112.91854P
P = 50,000/112.91854 ≈ 442.80
You would need to deposit $442.80 each month for 8 years.
helppp ASPPP plzz Select the correct answer.
Answers
Answer:
C. [tex]-2x^3+2\sqrt{x}[/tex]
Step-by-step explanation:
[tex]\sqrt{x} -x-(2x^3-\sqrt{x} -x)[/tex]
Change the signs of g(x)
[tex]\sqrt{x} -x-2x^3+\sqrt{x} +x[/tex]
Simplify
[tex]-2x^3+2\sqrt{x}[/tex]
I hope this helps!
pls ❤ and mark brainliest pls!
at what rate percent compound interest is Rs 700 amount to Rs 847 in 2 years?
Answers
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Answer:
10%
Step-by-step explanation:
The balance when principal P is invested at rate r compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
We have A = 847, P = 700, n = 1, t = 2 and we want to solve for r. Filling in the values and solving the equation gives ...
847 = 700(1 +r)^2
√(847/700) = 1 +r = 1.10 . . . . divide by 700 and take the square root
r = 0.10 = 10% . . . . . subtract 1
An interest rate of 10% compounded annually will give a balance of ₹847.
The sum of ten positive odd numbers is 20. Some numbers may repeat, find the largest number that is used in this sum.
(If possible please show me the step-by-step process, it would really help me)
Answers
Answer:
11
Step-by-step explanation:
Get the biggest number by making the others small.
the smallest odd number is 1, so if we get 9 ones, that equals to 9. 11+9 = 20. largest number used is 11.
The greatest odd number is 11 to get the sum of 20.
What is summation?The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Get the biggest number by making the others small.
The smallest odd number is 1, so if we get 9 ones, that equals 9.
11+9 = 20.
The largest number used is 11.
To know more about summation follow
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this app and you guys help me a lot and all need today is thank you and I need help
Answers
Answer:
a, b, and c are parallelograms.
Step-by-step explanation:
d is not one as it has 5 sides,
e is not a parallelogram because it is a triangle, and has 3 sides
hope this helps :D
Answer:
A, B and C
Step-by-step explanation:
A, B and C are parallelograms.
Hey guys are you available?
Answers
Answer:
c
Step-by-step explanation:
Answer:C
Step-by-step explanation:
find the circumference of a circle with a diameter of 2.5 inches
Answers
Answer:
Circumference=2π*(radius)
= 2*3.14*2.5 inches
= 15.7 inches
A race car is traveling at a rate of 36 yards per second. What is the car's speed in miles per hour?
Answers
Answer: The car is traveling at 73.63638 Mph
Step-by-step explanation:
1 yard per second is the same as 3 feet per second.
there are 5280ft per mile
So, at 36 yards per second, the car is traveling at 108/5280th (0.02045455) of a mile per second
0.02045455 * 60 (seconds) * 60 (minutes) = 73.63638 Mph
find the value of z, secant and tangent angles
Answers
Answer:
z = 110
Step-by-step explanation:
The measure of an angle created by the intersection of two secants outside a circle is half the difference of the angles it intercepts. In this it would be:
2x + 15 = 1/2 * (10x + 20 - 80)
We can now solve:
4x + 30 = 10x - 60
30 = 6x - 60
6x = 90
x = 15
This means the values of 10x + 20 is 10(15) + 20, which is 170.
Now, we can add up all the arcs in a circle, which sum to 360 degrees:
360 = z + 170 + 80
360 = z + 250
z = 110
Answer:
[tex]A)\ \ z = 110[/tex]
Step-by-step explanation:
One is given a circle with two secants. Please note that a secant is a line that intersects a circle in two places. The secant exterior angle theorem states that when two secants intersect each other outside of a circle, the measure of the angle formed is half the of the positive difference of the intersecting arcs. One can apply this theorem here by stating the following:
[tex]2x+15=\frac{(10x+20)-(80)}{2}[/tex]
Simplify,
[tex]2x+15=\frac{(10x+20)-(80)}{2}[/tex]
[tex]2x+15=\frac{10x-60}{2}[/tex]
[tex]2x+15=5x-30[/tex]
Inverse operations,
[tex]2x+15=5x-30[/tex]
[tex]15=3x-30[/tex]
[tex]45=3x[/tex]
[tex]15=x[/tex]
Substitute this value into the equation for one of the intersecting arcs to find the numerical value of that intersecting arc:
[tex]10x+20\\x = 15\\\\10(15) + 20\\= 150 + 20\\= 170[/tex]
The sum of all arc measures in a circle is (360) degrees. One can apply this here by stating the following:
[tex]80 + 170 + z = 360[/tex]
Simplify,
[tex]80 + 170 + z = 360[/tex]
[tex]250 + z = 360[/tex]
Inverse operations,
[tex]250 + z = 360[/tex]
[tex]z = 110[/tex]
What is the answer to my question?
Answers
Answer:
2/3
Step-by-step explanation:
24/36
Divide the top and the bottom by 12
24/12 =2
36/12 = 3
2/3
Physical prototypes are: Group of answer choices representation of the product in a nontangible, usually mathematical or visual manner. tangible approximation of the product that often look and feel like the product. analyzed rather than built. computer simulated or computer models of three-dimensional geometry.
Answers
Answer:
(b) tangible approximation of the product that often look and feel like the product
Step-by-step explanation:
"Physical" means it exists as an object in the real world, not just as a model on a computer screen. "Prototype" means it is an approximation of the finished product, lacking in one or more details of appearance, structure, or functionality.
find the area of right-andled triangled whose sight-angled
making side are 3cm and 4cm
Answers
Answer:
3*4=12
Step-by-step explanation:
How many prime numbers are there between 1 to 100? a) 17 b) 25 c) 32 d) None of these
Answers
Answer:
b)25
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
plez halppp mehh ;-;
Answers
2) True
3) True.
You can see for number one the angles are not the same, therefore they are not equal to eachother.
For two, because the line EC is running flat it is equal to 180. Because their is a little box on the other side of 1 & 2, we know that is equivalent to 90 degrees. Therefore the other side (1 &2) HAS to be 90, because the line in which they are on is 180, 90+ 90 = 180.
3, The same type of math for #2
Answer:
False
True
True
Step-by-step explanation:
Angle 1 cannot be equal to angle 4. Even by just viewing one can see that they can't be equal.
Angle 1 and 2 when combined give a 90 degree angle going from a to c.
Angle 3 and 4 form a 180 degree angle.
HOPE THIS HELPED
PLEASE HELP ME !!!!!! WILL GIVE POINTS OUT 60 POINTS
Answers
Answer:
18/25
Step-by-step explanation:
Due to the fact that the fractions have the same denominator, we can multiply to numerators, and also the denominators. So we get 3x6/5x5.
Which becomes 18/25
Hope this helps!
Answer:
9/5 which simplifies to 1 4/5
Step-by-step explanation:
Find the slope of the line containing the points (4, -7) and (6,-8).
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Which of these statements is NOT true regarding a randomized block design experiment?
a.)
This design has an advantage of controlling for variables that might confound the response.
b.)
The elements are randomly allocated to treatment and control groups.
c.)
The sample is divided into participants or subjects and then grouped by a variable of interest.
d.)
Elements are randomly selected from equal-sized blocks of the total population.
Answers
The correct answer is D. Elements are randomly selected from equal-sized blocks of the total population is NOT true regarding a randomized block design experiment
From the question we are told that one statement is NOT true regarding a randomized block design experiment.
Where
A) This design has an advantage of controlling for variables that might confound the response is TRUEB)The elements are randomly allocated to treatment and control groups is TRUEC)The sample is divided into participants or subjects and then grouped by a variable of interest is TRUED) Elements are randomly selected from equal-sized blocks of the total population is Not True
In conclusion
The all other Options are true except option D which states that Elements are randomly selected from equal-sized blocks of the total population.
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help???
if abc =70 is what is adc
Answers
Answer:
I belive it is 46
Step-by-step explanation:
solve the equation[tex]x^3+\left(y^'\right)^3-3xy^'\:=0[/tex]
Answers
Answer:0
Step-by-step explanation:
3x=3xy
x=0
y=0
3 times 0 = 0
