Maths

Question 1

Is matrix multiplication commutative?

Answer 1

No, matrix multiplication is not commutative

For matrices A and B, AB ≠ BA in general.

Question 2

What property of matrix multiplication is described by (AB)C = A(BC)?

Answer 2

Associative property

This property states that the grouping of matrices does not affect the product, provided the matrices are conformable for multiplication.

Question 3

Matrix multiplication is distributive over addition. True or False?

Answer 3

True

This means A(B + C) = AB + AC, provided A, B, and C are conformable.

Question 4

Complete the statement: A(B + C) = _______

Answer 4

AB + AC

This showcases the distributive property of matrix multiplication.

Question 5

Complete the statement: (A + B)C = _______

Answer 5

AC + BC

This also illustrates the distributive property, showing how addition interacts with multiplication.