Linear Algebra Examples

[\begin{array}{c} 2 \\ 9 \\ 0 \\ 5 \\ z \end{array}] = [\begin{array}{c} 2 \\ 9 \\ x \\ y \\ 0 \end{array}]

$[\begin{array}{c} 2 \\ 9 \\ 0 \\ 5 \\ z \end{array}] = [\begin{array}{c} 2 \\ 9 \\ x \\ y \\ 0 \end{array}]$

Step 1

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

2 = 2

$2 = 2$

9 = 9

$9 = 9$

0 = x

$0 = x$

5 = y

$5 = y$

z = 0

$z = 0$

Step 2

Rewrite the equation as

x = 0

$x = 0$ .

x = 0

$x = 0$

5 = y

$5 = y$

z = 0

$z = 0$

Step 3

Rewrite the equation as

y = 5

$y = 5$ .

y = 5

$y = 5$

x = 0

$x = 0$

z = 0

$z = 0$

Step 4

List all of the solutions.

y = 5, x = 0, z = 0

$y = 5, x = 0, z = 0$

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