Question

[ matrix 4&-7\\ 9&1 matrix ][ matrix x\\ y matrix ]=[ matrix 19\\ 26 matrix ] Which system of equations could the matrix equation represent?

Answer 1

To multiply a set of matrices,

The row will multiply the column

consider the illustration below

By multiplying the matrices above, we will have

`\begin{gathered} a_1* c_1+a_2* c_2=m \\ b_1* c_1+b_2* c_2=n \end{gathered}`

The matrices given in the question is

Multiplying the two by two matrix above, we will have

`\begin{gathered} 4* x+(-7)* y=19 \\ 9* x+1* y=26 \end{gathered}`

Hence,

We will have

`\begin{gathered} 4x-7y=19 \\ 9x+y=26 \end{gathered}`

Therefore,

The final answer is OPTION A