Zaymiey

📐 Mathematics  ·  Matrices  ·  JEE

If A is a 3×3 matrix with det(A) = 2, then det(2A) equals:

Answer: 16.

  • A 4
  • B 8
  • C 16
  • D 32

Correct answer: C. 16

Explanation: det(kA) = kⁿ·det(A) = 2³·2 = 16 for a 3×3 matrix.

Matrix A (3 rows x 3 columns)a11a12a13a21a22a23a31a32a33column 1column 2column 3row 1row 2row 3

Element aij of matrix A sits at the intersection of row i and column j.

Concept context

Matrix operations, determinants, inverses, and solving linear systems

Read the full Matrices notes →