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📐 Mathematics  ·  Matrices  ·  JEE

If A is a 2×2 matrix with |A| = 3, then |A⁻¹| equals:

Answer: equal to 1/3.

  • A equal to 1/3
  • B equal to 3
  • C equal to 9
  • D equal to 1

Correct answer: A. equal to 1/3

Explanation: |A⁻¹| = 1/|A| = 1/3.

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

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