Two matrices A = [aij] and B = [bij] are said to be equal if

Question

Sadika · Accepted Answer

Two matrices A=[aij]A=[aij] and B=[bij]B=[bij] are said to be equal if they have the same dimensions (i.e., the same number of rows and columns) and if each corresponding entry of matrix AA is equal to the corresponding entry of matrix BB.
Formally, two matrices AA and BB are equal if and only if:

They have the same dimensions, meaning they both have the same number of rows and the same number of columns.
For each ii and jj, aij=bijaij=bij, where aijaij represents the entry in the ii-th row and jj-th column of matrix AA, and bijbij represents the entry in the ii-th row and jj-th column of matrix BB.

In other words, matrices AA and BB are equal if they have the same size and if the corresponding entries in each position are equal.

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Two matrices A = [aij] and B = [bij] are said to be equal if

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