Suppose matrix A is symmetric and has eigenvalues X₁ = 7 and X₂ = 2. The corresponding eigenvectors of the matrix are as follows. -D--N = It is possible to construct matrices P and D so that A = PDPT. Suppose that the first row of Pis (1/√2 -2/√2). Fill in the entries of P and D so that A = PDPT. D= P= V1 =
Suppose matrix A is symmetric and has eigenvalues X₁ = 7 and X₂ = 2. The corresponding eigenvectors of the matrix are as follows. -D--N = It is possible to construct matrices P and D so that A = PDPT. Suppose that the first row of Pis (1/√2 -2/√2). Fill in the entries of P and D so that A = PDPT. D= P= V1 =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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![Suppose matrix A is symmetric and has eigenvalues X₁ = 7 and X₂ = 2. The corresponding eigenvectors of the matrix are as follows.
-4.
H
It is possible to construct matrices P and D so that A = PDPT. Suppose that the first row of Pis (1/√2-2/√2). Fill in the entries of P and D so that A = PDPT.
D=
P=
V₁ =
v2 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b609ed5-0879-4e23-8eee-4515e84ef2b9%2F6137f3f6-8b90-42e2-9764-97399fe70fe0%2Fuk6qsj_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose matrix A is symmetric and has eigenvalues X₁ = 7 and X₂ = 2. The corresponding eigenvectors of the matrix are as follows.
-4.
H
It is possible to construct matrices P and D so that A = PDPT. Suppose that the first row of Pis (1/√2-2/√2). Fill in the entries of P and D so that A = PDPT.
D=
P=
V₁ =
v2 =
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