Question-2: Let (i) (ii) (iii) B=2-¹/2X(X2¹x)-¹x²-1/2 (iv) (v) What is the dimension of B ? Find BQ2-1/2X Find (I-B) -B)² 2 Let A = 2 0 where X 0 2 0 -2 and 2=1/√√2. Find ATA. 1 0 A = -1 0 NxKQ1/2 NxN Find the determinant of nxn matrix A. Prove your answer -1 0 2 -1 0 ... -1/2 -1/2 and Ω ΧΩ = 2 0 −1

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 B=Q-1/2
(i)
(ii)
(iii)
(iv)
²X(X²Q-¹x)-¹x¹
(v)
Find (IB)
-B)²
2
What is the dimension of B ?
Find BQ-1/2X
Let A =
2
0
0
-1/2
A =
where X
2
0-2 and 1=1/√2. Find ATA.
1 0
-1
0
0
NxKQ1/2
NxN
Find the determinant of nxn matrix A. Prove your answer
-1 0
2 -1
-1/2
-1/2
and Ω ΧΩ = 2
0 −1
Transcribed Image Text:Question-2: Let B=Q-1/2 (i) (ii) (iii) (iv) ²X(X²Q-¹x)-¹x¹ (v) Find (IB) -B)² 2 What is the dimension of B ? Find BQ-1/2X Let A = 2 0 0 -1/2 A = where X 2 0-2 and 1=1/√2. Find ATA. 1 0 -1 0 0 NxKQ1/2 NxN Find the determinant of nxn matrix A. Prove your answer -1 0 2 -1 -1/2 -1/2 and Ω ΧΩ = 2 0 −1
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