I need help with these two questions. please show step and explaination to help me understand these questions better, please and thank you Problem 5. Suppose that A, B, and A+B are invertible n x n matrices.(a) Simplify the expression A(A-1 + B-")B(A+ B)-1.(b) What does (a) tell you about the matrix A-+B-. Problem 4. Consider the matrices:20 0 4-4 1 6 -65 01 81 8 0-120 -10 2-134B =72C =A =1-1D =-3 54 -2-4 07-2 10,1Compute the following matrices, if they exist:ВА, (АВ - 2D")", (САВУ, С* + 4BAAB,For those that do not exist, explain why.

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Answered: Problem 5. Suppose that A, B, and A+ B…

Problem 5. Suppose that A, B, and A+ B are invertible nx n matrices. (a) Simplify the expression A(A-1 +B-)B(A+ B)-. (b) What does (a) tell you about the matrix A-+B-.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.4: Determinants

Problem 53PS

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Question

I need help with these two questions. please show step and explaination to help me understand these questions better, please and thank you

Problem 5. Suppose that A, B, and A+B are invertible n x n matrices.
(a) Simplify the expression A(A-1 + B-")B(A+ B)-1.
(b) What does (a) tell you about the matrix A-+B-.

Problem 4. Consider the matrices:
20 0 4
-4 1 6 -6
5 01 8
1 8 0
-1
2
0 -1
0 2
-1
3
4
B =
7
2
C =
A =
1
-1
D =
-3 5
4 -2
-4 0
7
-2 1
0,
1
Compute the following matrices, if they exist:
ВА, (АВ - 2D")", (САВУ, С* + 4BA
AB,
For those that do not exist, explain why.

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