Given the following matrices: -2 0 2 2] A - [173] · ² - 6 8 10-[(²1] = 0 -2 B = [10 20 -2 2 0 (a) Calculate C-¹ if C is invertible. (b) Calculate BA + CT. (c) Find a matrix X such that 2X + BA = -31, where I is an identity matrix of the appropriate dimensions. (d) Determine the value of det (AB).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the following matrices:
-2 0
2 2]
A
- [173] · ² - 6 8 10-[(²1]
= 0 -2 B =
[10
20
-2 2
0
(a) Calculate C-¹ if C is invertible.
(b) Calculate BA + CT.
(c) Find a matrix X such that 2X + BA = -31, where I is an identity
matrix of the appropriate dimensions.
(d) Determine the value of det (AB).
Transcribed Image Text:Given the following matrices: -2 0 2 2] A - [173] · ² - 6 8 10-[(²1] = 0 -2 B = [10 20 -2 2 0 (a) Calculate C-¹ if C is invertible. (b) Calculate BA + CT. (c) Find a matrix X such that 2X + BA = -31, where I is an identity matrix of the appropriate dimensions. (d) Determine the value of det (AB).
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