Matrices A and B are given as 4-1 (1 2 3 7 A=-1 0 4 and B=-1 -1 2 - 0 2 2) 1 1 -1 1 (a) Find the value of K if AB = KI, where I is an identity matrix. (b) Hence, find matrix C such that C= AB+101, where I is an 32 3x3 identity matrix.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(-2 4)
3. Matrices A and B are given as
2 3
A=-1 0 4 and B=-1
-1
0 2 2)
| 1
1
-1
(a) Find the value of K if AB = KI, where I is an identity matrix.
(b) Hence, find matrix C such that C= AB+10/3, where Ig is an 3x3
identity matrix.
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1 1
PrtScn
F8
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Transcribed Image Text:(-2 4) 3. Matrices A and B are given as 2 3 A=-1 0 4 and B=-1 -1 0 2 2) | 1 1 -1 (a) Find the value of K if AB = KI, where I is an identity matrix. (b) Hence, find matrix C such that C= AB+10/3, where Ig is an 3x3 identity matrix. Page 1 1 PrtScn F8 Home F9 F4 F5 F6
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