CUET CUET Mathematics 2024 - If [A]_3 x 2[~B]_x x y=[C]_3 x 1, then : | PYQs + Solutions

CUET Mathematics 2024

Algebra

Matrices & Determinants

Easy

If $[\mathrm{A}]_{3 \times 2}[\mathrm{~B}]_{\mathrm{x} \times \mathrm{y}}=[\mathrm{C}]_{3 \times 1}$ , then :

x=1, y=3

x=2, y=1

x=3, y=3

x=3, y=1

Correct Option: 2

Matrix multiplication rule: The number of columns of the first matrix must equal the number of rows of the second matrix.

From

[A]_{3 \times 2}

and

[B]_{x \times y}

\newline

Columns of

A = 2

→ Rows of

B = x = 2

From

[C]_{3 \times 1}

\newline

Rows of

A = 3

→ Rows of

C = 3

\newline

Columns of

B = y = 1

\boxed{x = 2, y = 1}