Question

Which system of equations corresponds to this matrix multiplication operation

Answer 1

Option B

Explanation:

I just completed the test.

Answer 2

Option (B)

Explanation:

`\begin{bmatrix}5 & 2 & 1\\ 7 & -5 & 2\\ -5 & 3 & 1\end{bmatrix}* \begin{bmatrix}x\\ y\\ z\end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}`

By applying multiplication property of the matrices,

`\begin{bmatrix}(5x+2y+z)\\ (7x-5y+2z)\\(-5x+3y+z) \end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}`

Therefore, system of equations formed will be,

5x + 2y + z = 16

7x - 5y + 2z = 3

-5x + 3y + z = 12

Option (B) will be the correct option.