Which of the following is/are true for matrix addition and scalar multiplication?

A + B = B + A

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(p q) A = p (q A)

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p (A + B) = p A + B

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I A = A

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Solution

The correct options are
A $A + B = B + A$
B $(p q) A = p (q A)$
D $I A = A$
Commutative property of matrix addition: $A + B = B + A$

Associative property of scalar multiplication: $(p q) A = p (q A)$

Scalar Identity property where I is the unit matrix: $I A = A$

Distributive property of two scalars with a matrix: $p (A + B) = p A + p B$

Suggest Corrections

Similar questions

Which of the following statements is not true?
(A) Both addition and multiplication are associative for whole numbers.
(B) Zero is the identity for multiplication of whole numbers.
(C) Addition and multiplication both are commutative for whole numbers.
(D) Multiplication is distributive over addition for whole numbers.

Which of the following is correct about scalar multiplication of a matrix A?