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Linear Algebra Examples

$[\begin{array}{c} 4 & - 3 \\ 4 & 5 \end{array}] = [\begin{array}{c} 4 & x \\ 4 & y \end{array}]$

Step 1

The matrix equation can be written as a set of equations.

$4 = 4$

$- 3 = x$

$4 = 4$

$5 = y$

Step 2

Rewrite the equation as $x = - 3$ .

$x = - 3$

$5 = y$

Step 3

Rewrite the equation as $y = 5$ .

$y = 5$

$x = - 3$

Step 4

List all of the solutions.

$y = 5, x = - 3$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$