Let Lin{u} =U, Lin{w} = W, where %3D %3D 3 u = w = Mark only correct statements. O a. The matrix of the projection Ponto U parallel to W is 6 15 -2 -5 O b. R? is an orthogonal sum of U and W. O c. R is a direct sum of U and W. O d. The matrix of the projection Ponto U parallel to W is 6. 15 -2 5 O e. 9. -3 The matrix of the orthogonal projection Q onto U parallel to W is -3
Let Lin{u} =U, Lin{w} = W, where %3D %3D 3 u = w = Mark only correct statements. O a. The matrix of the projection Ponto U parallel to W is 6 15 -2 -5 O b. R? is an orthogonal sum of U and W. O c. R is a direct sum of U and W. O d. The matrix of the projection Ponto U parallel to W is 6. 15 -2 5 O e. 9. -3 The matrix of the orthogonal projection Q onto U parallel to W is -3
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.3: M X N Matrices
Problem 52PS
Related questions
Question
![Let Lin{u}
=U, Lin{w} = W, where
%3D
%3D
3
u =
w =
Mark only correct statements.
O a.
The matrix of the projection Ponto U parallel to W is
15
-2 -5
O b. R? is an orthogonal sum of U and W.
O c. R is a direct sum of U and W.
O d.
6.
The matrix of the projection P onto U parallel to W is
-2
15
Oe.
The matrix of the orthogonal projection Q onto U parallel to W is
-3
-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F665f18b9-ad7d-469f-a5c9-486e6d7771a1%2F36743c76-6f37-4a09-84ea-f3848d80dd14%2Fyxgygio_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let Lin{u}
=U, Lin{w} = W, where
%3D
%3D
3
u =
w =
Mark only correct statements.
O a.
The matrix of the projection Ponto U parallel to W is
15
-2 -5
O b. R? is an orthogonal sum of U and W.
O c. R is a direct sum of U and W.
O d.
6.
The matrix of the projection P onto U parallel to W is
-2
15
Oe.
The matrix of the orthogonal projection Q onto U parallel to W is
-3
-3
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