Linear Algebra Examples

$[\begin{array}{c} 7 & x^{2} - 2 \\ 3 & 4 \end{array}] = [\begin{array}{c} 7 & 7 \\ y - 3 & 4 \end{array}]$

Step 1

Write as a linear system of equations.

$7 = 7$

$x^{2} - 2 = 7$

$3 = y - 3$

$4 = 4$

Step 2

Since $4 = 4$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying the system.