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📐 Mathematics  ·  Matrices  ·  JEE

Two matrices can be added only if they have:

Answer: The same order (same rows and columns).

  • A The same determinant value calculated for both
  • B The same number of rows, even with differing columns
  • C The same number of columns, even with differing rows
  • D The same order (same rows and columns)

Correct answer: D. The same order (same rows and columns)

Explanation: Matrix addition is defined only when both matrices have identical orders (same number of rows and columns).

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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