or the giren m diaey that ( RS)*=5"" and UEP)e = p*t matrices, yenfy 2. E = 3-2i 273i 41 i P=1-i -- 1ti

Q: 2 =(², 2). (a) Find the inverse of the matrix A = (b) Find the direct product of the matrices A = =…

A: (a) The given matrix is A=21-12 (b) The given matrices are A=1302, B=12-12 (c) The given matrix is…

Q: Rank of the matrix A = (a) 1 (b) 2 (c) 3 (d) 4 1234 6 7 8 765 2468 5 8 is,

A:

Q: Show that (-A) T= -A", where A is a 2x3 type matrix (you can show it on the example)

A: Let matrix A=abcdef. Order of matrix A is 2×3. ⇒-A=-a-b-c-d-e-f ⇒(-A)T=-a-d-b-e-c-f  →Result 1

Q: 13. Find all 2 x 2 matrices A = (" such that A? %3D

A: Image is attached with detailed solution.

Q: Let A,B, C be 2×2 matrices where B= - /2 A, det A=2 and det C = – 8 Then det (8 A ³ (B-1)™ c-2) = O…

A: We know that; The rule of determinant; 1). detkA=kndetA ; n is the order of the matrix 2).…