152k views
1 vote
[ matrix 4&-7\\ 9&1 matrix ][ matrix x\\ y matrix ]=[ matrix 19\\ 26 matrix ] Which system of equations could the matrix equation represent?

[ matrix 4&-7\\ 9&1 matrix ][ matrix x\\ y matrix ]=[ matrix 19\\ 26 matrix-example-1

1 Answer

3 votes

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

[ matrix 4&-7\\ 9&1 matrix ][ matrix x\\ y matrix ]=[ matrix 19\\ 26 matrix-example-1
[ matrix 4&-7\\ 9&1 matrix ][ matrix x\\ y matrix ]=[ matrix 19\\ 26 matrix-example-2
User HugoShaka
by
3.7k points