If \([A]_{3\times 2}\,[B]_{x\times y} = [C]_{3\times 1}\), then:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → x = 2, y = 1
The product AB is defined only when the number of columns of A equals the number of rows of B. A has 2 columns, so
\(x = 2\)
The product of an \(m \times n\) and an \(n \times p\) matrix has order \(m \times p\). Here AB has order \(3 \times y\), and it equals C of order \(3 \times 1\), so
\(y = 1\)
NCERT (2026-27 edition):
Multiplication of Matrices
