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📐 Mathematics  ·  Matrices  ·  JEE

Because A + B = B + A for matrices, matrix addition is:

Answer: commutative.

  • A commutative
  • B non-associative
  • C distributive only
  • D undefined

Correct answer: A. commutative

Explanation: Matrix addition is commutative (and associative).

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

Read the full Matrices notes →