Question

Solve :
$\left|\begin{pmatrix}1\end{pmatrix}\right|$

Matrix question, tricky

Answer 1

$\left|\begin{pmatrix}1\end{pmatrix}\right|$

$\left|\begin{pmatrix}1\end{pmatrix}\right|=1$

$\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}$

$=\sqrt{1^2}$

$\mathrm{Simplify}\:\sqrt{1^2}$

$\mathrm{Apply\:rule}\:1^a=1$

$1^2=1$

$=\sqrt{1}$

$\mathrm{Apply\:rule}\:\sqrt{1}=1$

$=1$

Answer 2

The range of numbers for an integer modulo of n is 0 to n − 1 inclusive (a mod 1 is always 0; a mod 0 is undefined, possibly resulting in a division by zero error in some programming languages).

$\left|\begin{pmatrix}1\end{pmatrix}\right|=1$