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If $A=\begin{bmatrix} 2&1 & 3 \\4 & 6 &1 \end{bmatrix}$ and $B=\begin{bmatrix}2 & 4\\3 & -2\\ 6& 5\end{bmatrix}, $ then |
Only AB is defined Only BA is defined AB and BA both are defined AB and BA both are not defined |
AB and BA both are defined |
The correct answer is Option (3) → AB and BA both are defined Order (A) = 2 × 3, Order (B) = 3 × 2 ∴ Order (AB) = 2 × 2 Order (BA) = 3 × 3 Hence both are defined. |
