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12 Nov 2019
pls answer all questions neatly and correctly. tq
The matrices A and B are given by: A = (2 -1 3 1) B = (3 1 4 1). (i) Find ABA^-1 and AB^-1A^-1 (ii) Verify that (ABA^-1)^-1 = AB^-1A^-1. (b) Given A = (0 2 1 3) (i) Show that A is non-singular. (ii) Find B such that BA^2 = A. (c) Given A = (6 -4 -2 1) and I is the 2 times 2 identity matrix. (i) Prove that A^2 = 7A + 2I (ii) Show that A^-1 = 1/2(A-7I)
pls answer all questions neatly and correctly. tq
The matrices A and B are given by: A = (2 -1 3 1) B = (3 1 4 1). (i) Find ABA^-1 and AB^-1A^-1 (ii) Verify that (ABA^-1)^-1 = AB^-1A^-1. (b) Given A = (0 2 1 3) (i) Show that A is non-singular. (ii) Find B such that BA^2 = A. (c) Given A = (6 -4 -2 1) and I is the 2 times 2 identity matrix. (i) Prove that A^2 = 7A + 2I (ii) Show that A^-1 = 1/2(A-7I)
Nelly StrackeLv2
15 Feb 2019