Answer the following for matrix A. C. d. e. f. g. h. i. Is A pure...

Transcribed Image Text:

Answer the following for matrix A. C. d. e. f. g. h. i. Is A pure imaginary? Is A symmetric? Is A anti-symmetric? Is A orthogonal? Is A Hermitian? Is A anti-Hermitian? Is A unitary? m. Is A normal? j. A = [4₁ a. b. Find A = A* = complex conjugate of A. Find AT = the transposition of A. Find At = Transpose conjugate of A. Is A real? k. 1. Find A-¹ and verify that AA-¹ = 1 = A 4i = 1 -2il Answer the following for matrix A. C. d. e. f. g. h. i. Is A pure imaginary? Is A symmetric? Is A anti-symmetric? Is A orthogonal? Is A Hermitian? Is A anti-Hermitian? Is A unitary? m. Is A normal? j. A = [4₁ a. b. Find A = A* = complex conjugate of A. Find AT = the transposition of A. Find At = Transpose conjugate of A. Is A real? k. 1. Find A-¹ and verify that AA-¹ = 1 = A 4i = 1 -2il