-2 2 -3 3 Let A = 2 2 1 2 2 8 4 2 16 -2 -2 -2 -8 -2 -3 -1 -12 -1 -1 -1 -4 a) Find an orthogonal basis for the nullspace of A. b) Find the vector in the nullspace of A that is closest to the point (1, 1, -10, 2, -6).
-2 2 -3 3 Let A = 2 2 1 2 2 8 4 2 16 -2 -2 -2 -8 -2 -3 -1 -12 -1 -1 -1 -4 a) Find an orthogonal basis for the nullspace of A. b) Find the vector in the nullspace of A that is closest to the point (1, 1, -10, 2, -6).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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Question
I'm currently struggling to solve this problem using matrix notation exclusively, and I'm seeking your assistance. The requirement is to find a solution using matrix notation only, without utilizing any other methods. Could you please provide me with a comprehensive, step-by-step explanation using matrix notation to guide me towards the final solution?
can you label the parts as well
![-2
-3 3
2 2
28
4
2
16
-2 -2 -2 -8
-2 -3 -1 -12
-1 -1 -1 -4
Let A = 2
2
1
a) Find an orthogonal basis for the nullspace of A.
b) Find the vector in the nullspace of A that is closest
to the point (1, 1, -10, 2, -6).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb526ebf8-fedb-4697-82f8-451fd766eef0%2Fd4379566-441b-4c6a-8f69-82e2f2eeb5e1%2Fz68ffbp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-2
-3 3
2 2
28
4
2
16
-2 -2 -2 -8
-2 -3 -1 -12
-1 -1 -1 -4
Let A = 2
2
1
a) Find an orthogonal basis for the nullspace of A.
b) Find the vector in the nullspace of A that is closest
to the point (1, 1, -10, 2, -6).
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