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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
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
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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