Suppose A is a 3 × 3 matrix consisting of integer entries that are chosen at random from the set {–1000,–999,…,999,1000}. Let P be the probability that either A2= –I or A is diagonal matrix, where I is the 3 × 3 identity matrix. Then

Suppose A is a 3 × 3 matrix consisting of integer entries that are ch

1.	Suppose A is a 3 × 3 matrix consisting of integer entries that are chosen at random from the set {–1000,–999,…,999,1000}. Let P be the probability that either A2= –I or A is diagonal matrix, where I is the 3 × 3 identity matrix. Then
Answer» Suppose $A$ is a 3 × 3 matrix consisting of integer entries that are chosen at random from the set ${- 1000, - 999, \dots, 999, 1000}$ . Let $P$ be the probability that either $A^{2} = - I$ or $A$ is diagonal matrix, where $I$ is the 3 × 3 identity matrix. Then