4. For the matrix 1 X' = 1 1 1 4 -2 3 -5 compute P = X(X'X)-1X' and M =I- P (a) Verify that MP = (0. 1 3 (b) Let Q = aud X = XQ. Compute the P and M based on X instead of X. 2 8
4. For the matrix 1 X' = 1 1 1 4 -2 3 -5 compute P = X(X'X)-1X' and M =I- P (a) Verify that MP = (0. 1 3 (b) Let Q = aud X = XQ. Compute the P and M based on X instead of X. 2 8
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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please answer (a) and (b)
![4. For the matrix
x -
1
1 1
X'
4 -2 3 -5
compute P = X(X'X)-1X' and M =I– P
(a) Verify that MP = ().
1 3
(b) Let Q =
and X = XQ. Compute the P and M based on X instead of X.
2 8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48af0b99-9daa-414e-9d95-69f77d059bec%2F781e361c-1ad1-43c7-8c15-23df37c759a6%2F82549d9_processed.png&w=3840&q=75)
Transcribed Image Text:4. For the matrix
x -
1
1 1
X'
4 -2 3 -5
compute P = X(X'X)-1X' and M =I– P
(a) Verify that MP = ().
1 3
(b) Let Q =
and X = XQ. Compute the P and M based on X instead of X.
2 8
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