2) Let A be 51 4 1 Compute: -1 T A (i) A² (ii) è¹_ (iii) (4²)`¹ (iv) (4²¹)² (v) A A² tr(AA¹) (vi)
2) Let A be 51 4 1 Compute: -1 T A (i) A² (ii) è¹_ (iii) (4²)`¹ (iv) (4²¹)² (v) A A² tr(AA¹) (vi)
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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Question
![2) Let A be
Compute:
(i) AT
5 1
[H]
4 1
(ii) A¯¹ (iii) (A²)ˇ¹
tr(AAT)
(iv) (4¨¯¹)²_(v) A Aª
(vi)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4035242d-f18b-4709-bb6e-951753bf8b42%2F2404b6d9-770e-4086-87c5-79cfc0cd4254%2Fb3ong0e_processed.png&w=3840&q=75)
Transcribed Image Text:2) Let A be
Compute:
(i) AT
5 1
[H]
4 1
(ii) A¯¹ (iii) (A²)ˇ¹
tr(AAT)
(iv) (4¨¯¹)²_(v) A Aª
(vi)
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The inverse of the matrix: is calculated using the formula: .
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