QQuestion
If A = \begin{bmatrix}2 & 3 \\ 1 & 2\end{bmatrix} and B = \begin{bmatrix}2 & -4\end{bmatrix}, then the order of AB is:
(a) 2 × 2
(b) 2 × 1
(c) 1 × 2
(d) AB is not possible
ICSEClass XMathematicsMatrices01 Mark2026 Easy
✓Answer
(d) AB is not possible
Explanation:
The order of A is 2 × 2 and the order of B is 1 × 2.
For the product AB to exist, the number of columns of A must equal the number of rows of B.
Columns of A = 2, while rows of B = 1.
Since 2 ≠ 1, the product AB is not possible.
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