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📐 Mathematics  ·  Matrices  ·  JEE

For a 2x2 matrix [[a,b],[c,d]], the determinant is:

Answer: ad - bc.

  • A ac - bd
  • B ab + cd
  • C ad - bc
  • D ab - cd

Correct answer: C. ad - bc

Explanation: det([[a,b],[c,d]]) = ad - bc. Multiply along the main diagonal and subtract the product along the other diagonal.

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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