Consider the following. 9 10 A = 10 0 Find all eigenvalues λ of the matrix A. (Enter your answers as a comma-separated list.) λ = -1,10 Give bases for each of the corresponding eigenspaces. (Enter sqrt(n) for √n.) smaller A-value span 1 -sqrt(10) sqrt(10) larger λ-value span 1 Orthogonally diagonalize the matrix by finding an orthogonal matrix Q and a diagonal matrix D such that QTAQ = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) (D, Q) = [[1,0],[0,10]], [[sq(1)" sqrt(1) sqrt( ]]
Consider the following. 9 10 A = 10 0 Find all eigenvalues λ of the matrix A. (Enter your answers as a comma-separated list.) λ = -1,10 Give bases for each of the corresponding eigenspaces. (Enter sqrt(n) for √n.) smaller A-value span 1 -sqrt(10) sqrt(10) larger λ-value span 1 Orthogonally diagonalize the matrix by finding an orthogonal matrix Q and a diagonal matrix D such that QTAQ = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) (D, Q) = [[1,0],[0,10]], [[sq(1)" sqrt(1) sqrt( ]]
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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need help 5.4
![Consider the following.
9
10
A =
10
0
Find all eigenvalues λ of the matrix A. (Enter your answers as a comma-separated list.)
λ = -1,10
Give bases for each of the corresponding eigenspaces. (Enter sqrt(n) for √n.)
smaller A-value span
1
-sqrt(10)
sqrt(10)
larger λ-value
span
1
Orthogonally diagonalize the matrix by finding an orthogonal matrix Q and a diagonal matrix D such that QTAQ = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
(D, Q) =
[[1,0],[0,10]], [[sq(1)"
sqrt(1) sqrt(
]]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3cf874b-7a7b-478f-a7b8-421442e72224%2F003c38b6-3be3-413d-b7b9-5fd7567137d5%2Fpfc4me_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
9
10
A =
10
0
Find all eigenvalues λ of the matrix A. (Enter your answers as a comma-separated list.)
λ = -1,10
Give bases for each of the corresponding eigenspaces. (Enter sqrt(n) for √n.)
smaller A-value span
1
-sqrt(10)
sqrt(10)
larger λ-value
span
1
Orthogonally diagonalize the matrix by finding an orthogonal matrix Q and a diagonal matrix D such that QTAQ = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
(D, Q) =
[[1,0],[0,10]], [[sq(1)"
sqrt(1) sqrt(
]]
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