Mathematics High School

Given the matrices: 1 2 A= 1 -1 2 1 1 B= 3 4 Calculate AB: C11 C12 [2.1] х 1 2 3 4 C21 C22 C11 = C12 = -2 C22 - C215 DONE​

Given The Matrices: 1 2 A= 1 -1 2 1 1 B= 3 4 Calculate AB: C11 C12 [2.1] 1 2 3 4 C21 C22 C11 = C12 =

Answers

Answer 1

Answer:

[tex]\:c_{11}=-2,\:\:\:c_{12}=-2[/tex]

[tex]\:c_{21}=5,\:\:\:c_{22}=8[/tex]

Step-by-step explanation:

Given the matrices

[tex]A=\begin{pmatrix}1&-1\\ 2&1\end{pmatrix}[/tex]

[tex]B=\begin{pmatrix}1&2\\ \:3&4\end{pmatrix}[/tex]

Calculating AB:

[tex]\begin{pmatrix}1&-1\\ \:\:2&1\end{pmatrix}\times \:\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}=\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}[/tex]

Multiply the rows of the first matrix by the columns of the second matrix

                                   [tex]=\begin{pmatrix}1\cdot \:1+\left(-1\right)\cdot \:3&1\cdot \:2+\left(-1\right)\cdot \:4\\ 2\cdot \:1+1\cdot \:3&2\cdot \:2+1\cdot \:4\end{pmatrix}[/tex]

                                   [tex]=\begin{pmatrix}-2&-2\\ 5&8\end{pmatrix}[/tex]

Hence,

[tex]\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}=\begin{pmatrix}-2&-2\\ \:5&8\end{pmatrix}[/tex]

Therefore,

[tex]\:c_{11}=-2,\:\:\:c_{12}=-2[/tex]

[tex]\:c_{21}=5,\:\:\:c_{22}=8[/tex]

Answer 2

Answer:

Step-by-step explanation:

c12: -2

c22: 8

d11: 5

d21: 11

Are the products equal? Does AB = BA?

No

Related Questions

1+20/400x1+20/400x1+20/400x1+20/400​

Answers

Answer:

6/5 = 1.2 is the answer for the question

The question is 21/400 * 21/400 * 21/400 * 21/400. We can rephrase this as 21^4/400^4 for simplicity. 21^4 = 194,481, and 400^4 = 25,600,000,000. 194,481/25,600,000,000 = 7596.91406 * 10^8

lma'o 3 more givaways of 100

Answers

Answer:

heyyy

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

Simplify the expression:
-69 + 7 - 2 + 49

Answers

Answer: -15 is the simplified answer.

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

becuase -69 +7 = -62 -2 =-64 + 49 = -15

In the right triangle shown, m∠G=45° and HI = 7

How long is GH?

Answers

Answer:

7 sqrt of 2

Step-by-step explanation:

Special triangles

45 45 90

X X. Xsqrt of2

Answer:7 [tex]\sqrt{2}[/tex]

Step-by-step explanation: Khan academy

1/6x + 2/3x + 4 = x + 2

Answers

Answer:

x = 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Solve 5x -3 = 4(x + 2) + x and show all steps.

Answers

Answer:

No solution

Step-by-step explanation:

get rid of parentheses first by multiplying

5x-3=4x+8+x

combine like terms

5x-3=5x+8

-3=8

(-8,35) (-4,19) < whats the slope?

Answers

Answer:

-4

Step-by-step explanation:

Use the slope formula to find the slope m.

m = −4

HOPE THIS HELPS :)

multiplying two complex numbers involves ______.

a. scaling
b. dilation
c. change in magnitude
d. scaling and rotation

Answers

Answer:

Multiplying a complex number by a real number

(x + yi) u = xu + yu i. In other words, you just multiply both parts of the complex number by the real number. For example, 2 times 3 + i is just 6 + 2i. Geometrically, when you double a complex number, just double the distance from the origin, 0.

binomial methods

Complex numbers use binomial methods of multiplication because unlike real numbers, imaginary numbers have two components.

So probably A. I sorry, but I need more information. Hope this helps

Step-by-step explanation:

I just took the test and the answer that was right was d. scaling and rotation

Select all that are like terms to 5a5b4.

Answers

Answer:

All the terms would be 5a, 5b, and 4

Step-by-step explanation:

All you have to do is separate all each one from the other

Does this graph show a function? Hurry plz!!

Answers

Answer:No the graph fails the vertical line test

Step-by-step explanation: sorry if wrong

Answer:

no

Step-by-step explanation:

it doesn't pass the vertical line test

it crosses an x-value more than once

Choose the expression that is equivalent to both −xy and x−y.

Answers

Answer:

x-y

Step-by-step explanation:

The expression which is equivalent to both -x/y and x/(-y) is the -1(x/y)  thus option (C) will be correct.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given expression,

-x/y and x/(-y)

If an expression is equivalent to both then both also must be the same.

Therefore, -x/y = x/(-y)

[(-1)x]/y = x/[(-1)y]

(-1)[x/y]= -x/y

Thus, -x/y = x/(-y) = (-1)[x/y]

Hence "The expression which is equivalent to both -x/y and x/(-y) is the -1(x/y) ".

To learn more about expression,

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Given question is incomplete complete question has been attached below,

The graph of linear function f passes through the point (3, 2) and has a slope of 2. What is the zero of f?

Answers

Considering the definition of a line and zero of a linear function, the zero of the linear function that passes through the point (3, 2) and has a slope of 2 is 2.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Zeros of a function

The points where a linear function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, zeros of the function are those values ​​of x for which the expression is equal to 0.

Line in this case

In this case, you know:

The line has a slope of 2.The line passes through the point (3, 2).

Substituting the value of the slope m, you get:

y= 2x +b

Replacing the value of the point in the  previous expression, the value of the ordinate to the origin b can be obtained:

2= 2×3 + b

2= 6 + b

2-6= b

-4= b

The equation of the line that passes through the point (3, 2) and has a slope of 2 is y= 2x -4.

The zero of the function is calculated as:

0= 2x -4

Solving:

0 + 4= 2x

4= 2x

4÷2= x

2=x

Finally, the zero of the linear function is 2.

Learn more about zero of a linear function:

brainly.com/question/19035789

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brainly.com/question/28352888

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HELP PLEASE TRY TO EXPLAIN TOO​

Answers

c²=a²+b². That’s the Pythagorean theorem. You can also say a²+b²=c²

What is the distance between A and B on the number line below?

On a number line, point A is at 2.15 and point B is at 2.7.

0.55

0.65

2.48

4.85

Answers

It’ll be 0.55

Have a nice day bud!

Answer:

A

Step-by-step explanation:

CAN YA HELP MEEEEE
EXPLAINNNN PLEASEEEE

Answers

the first one seems right

This is a question I need help on. Please! 15 points!

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Given the following system of equations, what is the value of the system determinant?
3x + 9y = 4
-2x + 5y = -7
(Possible Answers)
A. -3
B. 33
C. 21

Answers

C is answer to me ok thank bye bye

PLEASEEEE HELP HONESTLY REALLY NEED IT!!!!

Answers

Answer:

Emma is right because Jon put ¨2.5¨ notebooks when there are really $5

Step-by-step explanation:

plz help me answer these questions i will mark you the brainiest
1) Gracie had some nickels and dimes in her purse totaling $1.65. She had 6 more dimes than nickels. How many coins of each type did she have?

2)Jimmy had $5.25 in nickels and quarters. If he had 15 more nickels than quarters, how many coins of each type did he have?

3)There were 180 students in attendance at the dance. If there were 32 more boys than girls at the dance, how many girls and boys were at the dance?

4)There were 293 tickets sold for a concert. Tickets purchased before the concert were $10, but tickets purchased at the gate were $15. The total ticket sales were $3495. How many people bought tickets before the concert, and how many purchased tickets at the gate?

Answers

Answer:

1. 7 Nickels, 13 Dimes

2. 30 Nickels, 15 Quarters

3. 74 Girls, 106 Boys

4. 180 tickets bought before and 113 bought at the gate

Step-by-step explanation:

Answer:

1) 7 nickels and 13 dimes2) 15 quarters and 30 nickels3) 74 girls and 106 boys4) 180 tickets bought before, 113 - at the gate

Step-by-step explanation:

1)

Nickel: n = 5c, Dime: d = 10c

Equations as per given:

d = n + 65n + 10d = 165c

Substitute d:

5n + 10(n+6) = 1655n + 10n + 60 = 16515n = 105n = 105/15 = 7d = n+ 6 = 7 + 6 = 13

2)

Nickels: n = 5c, Quarters: q = 25c

Equations as per given:

n = q + 155n + 25q = 525c

Substitute n:

5(q + 15) + 25q = 5255q + 75 + 25q = 52530q = 450q = 15n = q + 15 = 15 + 15 = 30

3)

Boys = b

Girls = g

Equations as per given:

b + g = 180b = g + 32

Substitute b:

g + 32 + g = 1802g = 148g = 74b = 74 + 32 = 106

4)

Tickets purchased at the gate: g = $15

Tickets purchased before the concert: b = $10

Equations as per given:

b + g = 293 ⇒ b = 293 - g10b + 15g = 3495

Substitute b:

10(293 - g) + 15g = 34952930 - 10g + 15g = 34955g = 3495 - 29305g = 565g = 565/5g = 113b = 293 - g = 293 - 113 = 180

PLEASE HELP!!!!!!!!!!!!!!!

Answers

Y=1/3x-6 would be the correct answer

Use the provided information below to identify each of Mr. Nicholson’s earning opportunities as arithmetic or geometric. For each opportunity, include the common difference or ratio. In your final answer, use complete sentences to explain how you identified each opportunity as arithmetic or geometric.

Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.

Answers

Answer:

4,200

Step-by-step explanation:

$60,000 divided by 3,500 is 4,200

What is #3? I need to know. ​

Answers

Answer huh?

Step-by-step explanation:

Miss/ mister person, you need to elaborate more on the question haha

The value of 34 + 7 ⋅ 5 = ___.

Answers

Answer:

69

Step-by-step explanation:

so first you would multiply 7*5 then you would add 34 then that would be your answer.

(ANSWER ASAP) Solve the inequality. ​

Answers

Answer:

Step-by-step explanation:

k ≤ -3-8 subtract 8 from both sides

k ≤ -11

the solution is the area to the left of a vertical line trough the point x= -11 and includes thhe line

When solving using Elimination:
What can you do to make a variable eliminate?
5x- 2y = 11
8x- 8y = -16

Answers

Answer:

Multiply 1st equation by -4

Step-by-step explanation:

Multiply the 1stequation by-4

-20x+8y=-44. Leave 2nd equation

8x-8y=-16

See how the 8y cancels with -8y

Sophie has 3/5 quart of lemonade if she divides the lemonade into glasses that hold 1/25 quart how many glasses can Sophie fill?

Answers

the answer to this question is 12!

PLEASEEEEEEEEEEEEEEEEEE!!!!!!!!!!!
Eileen saves dimes and quarters. She has 40 coins, which total $6.55, in her bank. How many of quarters did she save? (Write only the number for the answer.)

Answers

Answer:

400

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

   

7th GRADE MATH WILL GIVE BRAINLIEST 20 POINTS ​

Answers

Answer:

I will say C, because tossing a coin twice has two outcomes. H is for heads while T is for heads. Tell me if I'm right.

Step-by-step explanation:

This is due today pls help. I’ll give u BRAINLIEST

Answers

Answer:

what do they a's and s's stand for?? (in the answer choices)

Step-by-step explanation:

if i am not wrong it’s angle side angle but i’m not too sure it has been awhile

8. Calculate
341) + 35）
༣༨

Answers

Answer: 341 + 35 = 376

Step-by-step explanation:

Step-by-step explanation:

376........................

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