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

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

The matrices given in the question is

Multiplying the two by two matrix above, we will have

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

Hence,

We will have

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

Therefore,

The final answer is OPTION A