Question

Help me plz to solve questions a and b

9. (10pts) Answer only four parts by True/False and provide justifica- tions] Given A, B and C three n × n matrices: (a) If C'is a nonsingular skew-symmetric matrix, then its inverse is also skew symmetric b) If rank(A) and AB- AC then B- C c) Let S-V, V2, Vs) be a lnearly independent set of vectors in a vector space V and T V2, V2+Vs, ViVs); then T is linearly independent (d) The constant term of the characteristic polynomial of a matrix A is equal to (e) If A ~ B, then σ(A)-o(B). (f) If A is n x n, a R, then Trace(aA)-α Trace(A).

Answer 1

2 4 ive is nan Sinzear consider

True nulu Henu, This matnyu invehe