2. Let a = 2 2 x = and y = -2 4 4 (a) Find P, the projection matrix along the span of a. (b) Find proja (x). (c) Find proja (y).
2. Let a = 2 2 x = and y = -2 4 4 (a) Find P, the projection matrix along the span of a. (b) Find proja (x). (c) Find proja (y).
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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Transcribed Image Text:2. Let a = 2
----
X=
-2
4
and y =
4
2
(a) Find P, the projection matrix along the span of a.
(b) Find proja (x).
(c) Find proja (y).
3. Let A be a nonsingular 2 x 2 matrix.
(a) Find P, the projection matrix onto C(A).
(b) Find C(A) and comment on the result of part (a).
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