Q100 of 146 Page 52

Which of the following statements are True or False
If A is skew symmetric matrix, then A² is a symmetric matrix.

True

For skew symmetric matrix A’=-A

⇒ (A²)’=(AA)’=A’A’

⇒ A’A’=(-A)(-A)=A²

⇒ (A²)’=A² (symmetric matrix)

Which of the following statements are True or False

If then AB and BA are defined and equal.

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.

101

Which of the following statements are True or False

(AB)^–1 = A^–1.B^–1, where A and B are invertible matrices satisfying cumulative property with respect to multiplication.

Which of the following statements are True or FalseIf A is skew symmetric matrix, then A2 is a symmetric matrix.