Q3. If A = [2 4 41 4 2 4 show that A² -8A-201 = 0 where 1,0 are the unit matrix and 14 4 21 the null matrix of order 3 respectively. Use this result to find A¯¹. Q4. Find the inverse of the A matrix using Gauss-Jordan elimination method. [35 A = 1 2 L2 6 7 -1 4

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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Q3. If A =
[2
4 41
2 4 show that A² -8A-201 = 0 where 1,0 are the unit matrix and
4 4 21
4
the null matrix of order 3 respectively. Use this result to find A-¹.
Q4. Find the inverse of the A matrix using Gauss-Jordan elimination method.
[35
A = 1 2
L2 6
7
-1
4
Transcribed Image Text:Q3. If A = [2 4 41 2 4 show that A² -8A-201 = 0 where 1,0 are the unit matrix and 4 4 21 4 the null matrix of order 3 respectively. Use this result to find A-¹. Q4. Find the inverse of the A matrix using Gauss-Jordan elimination method. [35 A = 1 2 L2 6 7 -1 4
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