Let and then

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

Let $A = [\begin{array}{c} 1 \\ 2 \end{array} \begin{array}{c} 2 \\ 1 \end{array}]$ and $B = [\begin{array}{c} 4 \\ 5 \\ 0 \end{array} \begin{array}{c} - 3 \\ 6 \\ 1 \end{array}]$ then

AB exists

AB and BA both exists

Neither AB nor BA exists

BA exists, but AB does not exists

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Given,

Order of A = 2 × 2 matrix

Order of B = 3 × 2 matrix

AB does not exist, as the number of columns of matrix A is not equal to number of rows of B

But, BA exists, as the number of columns of matrix B is equal to number of rows of A

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