Question

Select the correct systems of equations.

Identify each system of linear equations that has an inverse for its coefficient matrix.

Answer 1

Top right and bottom right

Explanation:

The coefficient matrix for the top left system is

`\begin{bmatrix} 2 & 1 & 2 \\ 1 & 0 & 5 \\ 3 & 1 & 1 \end{bmatrix}`

For there to be an inverse, the determinant has to be non-zero.

Using this logic to find the coefficient matrices for the other systems, we get the answers to be the top right and bottom right systems.