Which of the following statements are True or False
If then AB and BA are defined and equal.

Question

Which of the following statements are True or False If then AB and BA are defined and equal.

Philoid · Accepted Answer

False

∵ Here A has an order (2×3) and B has an order (3×2),

Hence AB is defined and will give an output matrix of order (2×2)

And BA is also defined but will give an output matrix of order (3×3).

⇒ AB ≠ BA

Which of the following statements are True or FalseIf then AB and BA are defined and equal.