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📐 Mathematics  ·  Matrices  ·  JEE

The inverse of the matrix [[2, 3], [1, 2]] is:

Answer: [[2, −3], [−1, 2]].

  • A [[2, −3], [−1, 2]]
  • B [[2, 3], [1, 2]]
  • C [[−2, 3], [1, −2]]
  • D [[2, −1], [−3, 2]]

Correct answer: A. [[2, −3], [−1, 2]]

Explanation: Determinant = 1, so inverse = adjugate = [[2, −3], [−1, 2]].

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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