Linear Algebra Examples

$[\begin{array}{c} 7 \\ 24 \end{array}]$

Step 1

The norm is the square root of the sum of squares of each element in the vector.

$\sqrt{7^{2} + 24^{2}}$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Raise $7$ to the power of $2$ .

$\sqrt{49 + 24^{2}}$

Step 2.2

Raise $24$ to the power of $2$ .

$\sqrt{49 + 576}$

Step 2.3

Add $49$ and $576$ .

$\sqrt{625}$

Step 2.4

Rewrite $625$ as $25^{2}$ .

$\sqrt{25^{2}}$

Step 2.5

Pull terms out from under the radical, assuming positive real numbers.

$25$