Answer each of the following as True or False justifying youranswers:100a) If A = then A100 = ): )b) For any three matrices A, B and C, if AB = BA and BC = CB, then AC = CA.1[12 l1СА.1 ГО1c) If (I – 24")-1 =d) If A and B are 4 x 4 nonsingular matrices such that |2A¯1B²| = 32, thenthen A|B|2|A|e) Let S = {(1,0,0,0), (01,0,0), (2,3,5a, 0), (a, 0,2, a – 2)} be set of vectors inR*. The set S is linearly independent if and only if a + 0.

Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Answer each of the following as True or False justifying your answers: 100 [1 a) If A =; then A100. -1 b) For any three matrices A, B and C, if AB = BA and BC = CB, then AC = CA. 1 [0 1 c) If (I – 2A")-1 = ; ], then A = %3D

Answer each of the following as True or False justifying your answers: 100 [1 a) If A =; then A100. -1 b) For any three matrices A, B and C, if AB = BA and BC = CB, then AC = CA. 1 [0 1 c) If (I – 2A")-1 = ; ], then A = %3D

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.3: Matrix Algebra

Problem 78E

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Question

Answer each of the following as True or False justifying your
answers:
100
a) If A = then A100 = ): )
b) For any three matrices A, B and C, if AB = BA and BC = CB, then AC = CA.
1[1
2 l1
СА.
1 ГО
1
c) If (I – 24")-1 =
d) If A and B are 4 x 4 nonsingular matrices such that |2A¯1B²| = 32, then
then A
|B|2
|A|
e) Let S = {(1,0,0,0), (01,0,0), (2,3,5a, 0), (a, 0,2, a – 2)} be set of vectors in
R*. The set S is linearly independent if and only if a + 0.

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