Task 4. (20%) Let p, 0 be given constants from R; [cos e - sin 0...

Transcribed Image Text:

Task 4. (20%) Let p, 0 be given constants from R; [cos e - sin 0 0 cos 0 sin o Cos p cos p sin o 0, B= sin 0 A 1 1 (a) Find multiplication of AB and BA; (b) Find determinants: det(A) and det(B); (c) Find determinants: det(AB) and det(BA); (d) Find determinants: det((AB)-1) and det((BA)-1), where (AB)-' is the inverse matrix to AB and (BA)-1 is the inverse matrix to BA. Task 4. (20%) Let p, 0 be given constants from R; [cos e - sin 0 0 cos 0 sin o Cos p cos p sin o 0, B= sin 0 A 1 1 (a) Find multiplication of AB and BA; (b) Find determinants: det(A) and det(B); (c) Find determinants: det(AB) and det(BA); (d) Find determinants: det((AB)-1) and det((BA)-1), where (AB)-' is the inverse matrix to AB and (BA)-1 is the inverse matrix to BA.