Question

Multiplication of real valued square matrices of same dimension is

Options :

  1. not always possible to compute

  2. always positive definite

  3. associative

  4. always positive definite

Show Answer

Answer :

associative

Solution :

Matrix multiplication is associative, which means that for three matrices A, B, and C of appropriate dimensions, (AB)C = A(BC). This property allows us to change the grouping of matrices in a multiplication expression without changing the final result. Hence, this option is correct

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