Representation and evaluation of determinant of a given matrix

Determinant 

Defination - It is rectangular array of equal number of rows and columns.

It is always evaluated for square matrix only. 

It always gives some value.

Representation of  \[2\times 2\]  determinant

Determinant of a \[2\times 2\] matrix \[\begin{bmatrix}a&b\\c&d\end{bmatrix}\] can be representated as \[ \begin{vmatrix}a&b\\c&d\end{vmatrix}\].

Evaluation of \[2\times 2\] determinant \[ \begin{vmatrix}a&b\\c&d\end{vmatrix}\]=\[ ad-bc\]

Example \[ \begin{vmatrix}5&6\\2&8\end{vmatrix}\]=40-12=28

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