Select the correct answer. If A= and Ab= what is the value of matrix b

Several operations such as addition, subtraction, multiplication, etc. can be performed on matrices. The value of matrix B is:

Given that:

Let matrix B be:

The product of A and B is as follows:

Multiply the rows of A to the column of B. So, we have:

This means that:

By comparison, we have:

--- (1)

--- (2)

--- (3)

Multiply (1) and (3) by 2

--- (1)

----- (5)

--- (3)

---- (6)

So, we have:

--- (2)

----- (5)

---- (6)

Make 4a the subject in each of the equations

. So, we have:

 and  

Simplify both expressions

Make c the subject

Substitute in

Multiply through by 3

Open bracket

Collect like terms

Solve for b

Solve for c

Solve for a in

Divide by 4

Recall that matrix B is:

Hence, the value of matrix B is:

Read more on matrix operations at:

link

C.

Step-by-step explanation: I got this right on Edmentum.