If $[A]_{3×2} [B]_{x×y} = [C

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If $[A]_{3×2} [B]_{x×y} = [C]_{3×1}$, then:

Options:

x = 1, y = 3

x = 2, y = 1

x = 3, y = 3

x = 3, y = 1

Correct Answer:

x = 2, y = 1

Explanation:

The correct answer is Option (2) - x = 2, y = 1

$[A]_{3×2} [B]_{x×y} = [C]_{3×1}$

order (C) = 3 × y

so $y=1$

$x=2$ (for multiplication no of rows of first matrix = no. of rows of second matrix)