Q99 of 146 Page 52

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

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 False

AA’ is always a symmetric matrix for any square matrix A.

Which of the following statements are True or False

AA’ is always a symmetric matrix for any square matrix A.

Which of the following statements are True or False

If then AB and BA are defined and equal.

100

Which of the following statements are True or False

If A is skew symmetric matrix, then A² is a symmetric matrix.

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