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📐 Mathematics  ·  Matrices  ·  JEE

For A = [[1, 2], [3, 4]] and B = [[2, 0], [1, 3]], the trace of AB is:

Answer: 16.

  • A 12
  • B 14
  • C 16
  • D 20

Correct answer: C. 16

Explanation: AB = [[4, 6], [10, 12]], so trace = 4 + 12 = 16.

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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