Which statement is correct about matrix multiplication for square matrices?

A) It satisfies the associative and commutative properties, but not the distributive property.

B) It satisfies the associative and distributive properties, but not the commutative property.

C) It satisfies the commutative property, but not the associative and distributive properties.

D) It satisfies the distributive property, but not the associative and commutative properties.

Question

Mathematics

Aden Blake

8 January, 10:10

Which statement is correct about matrix multiplication for square matrices?

A) It satisfies the associative and commutative properties, but not the distributive property.

B) It satisfies the associative and distributive properties, but not the commutative property.

C) It satisfies the commutative property, but not the associative and distributive properties.

D) It satisfies the distributive property, but not the associative and commutative properties.

+1

Answers (1)

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Ainsley Martin · Answer 1

B) It satisfies the associative and distributive properties, but not the commutative property.

Step-by-step explanation:

In general, matrix multiplication is not commutative (except for diagonal square matrices). However the other properties still apply: distributive property and associative property.