Question

25: Which of the following property of matrix
multiplication is correct?
Multiplication is not commutative in general
Multiplication is associative
Multiplication is distributive over addition
All of the mentioned​

Answer 1

Multiplication is associative is correct.

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Answer 2

The correct property of matrix multiplication is

D) ALL OF THE ABOVE MENTIONED.

1. Matrix multiplication is not Commutative

• Matrix multiplication is not commutative means that the multiplication of matrix A not equal to matrix B. i .e. AB ≠ BA

2. Matrix Multiplication is associative

• Matrix Multiplication is associative means that the product of A(BC) is equal to the product of (AB)C. i. e. A(BC) = (AB)C

3. Multiplication is distributive

• Matrix Multiplication is distributive means that the product of A(B+C) is equal to the product of (A+B)C. i. e. A(B+C) = (A+B)C

So, The correct answer is option D) ALL OF THE ABOVE MENTIONED.