Matrix Equality

Matrix Equality

Two matrices are equal if they are the same size and if each pair of corresponding elements is equal.


By this definition,

\begin{bmatrix}  2 & 1\\  3& -5  \end{bmatrix}  and \begin{bmatrix}  1 & 2\\  -5& 3  \end{bmatrix}

are not equal (even though they contain the same elements and are the same size)

since the corresponding elements differ.

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