Problem 2.12 212 123 4 5 6Please give a 4 by 4 orthogonal matrix V = [V₁ V₂ V3 V4] such V₁, V2 € C(AT) andV3, V4 € N(A).Hint: You can choose a basis in each of the spaces, and then apply Gram-Schmidtto them.Let A =

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Problem 2. [1 122 Let A = 1 2 1 2 3 4 5 6 Please give a 4 by 4 orthogonal matrix V = [V₁ V2 V3 V4] such V₁, V2 E C(AT) and V3, V4 € N(A). Hint: You can choose a basis in each of the spaces, and then apply Gram-Schmidt to them.

Problem 2. [1 122 Let A = 1 2 1 2 3 4 5 6 Please give a 4 by 4 orthogonal matrix V = [V₁ V2 V3 V4] such V₁, V2 E C(AT) and V3, V4 € N(A). Hint: You can choose a basis in each of the spaces, and then apply Gram-Schmidt to them.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 26CM: Find an orthogonal matrix P such that PTAP diagonalizes the symmetric matrix A=[1331].

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Question

Problem 2.
1
2 2
12 12
3 4 5 6
Please give a 4 by 4 orthogonal matrix V = [V₁ V₂ V3 V4] such V₁, V2 € C(AT) and
V3, V4 € N(A).
Hint: You can choose a basis in each of the spaces, and then apply Gram-Schmidt
to them.
Let A =

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