Which of the following are TRUE The matrix0 0 0 0 has only o

Which of the following are TRUE? The matrix[0 0 0 0] has only one eigenvector. If A is an n times n orthogonal matrix, then cA is orthogonal if and only if c = plusminus 1. If a is a 2 times 2 matrix, then the characteristics polynomial is p(lambda) = lambda^2 -Tr(A) lambda + det (A), where Tr(A) is the trace of A. I only III only I and II II and III I, II, and III

Solution

(I) TRUE

(ii)TRUE

(iii)FLASE

option B correct