A is a matrix of order 2×mand B is a matrix of order 3×n such that both AB and BA are defined. Is AB−BA defined ?
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Since AB exists, so the number of column in A= Number of column in B.
So B has n row.
Since BA exists, so the number of column in B= Number of column in A.
So B has m column.
∴ B is an n×m matrix.
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