H and 0 as an eigenvalue Is your matrix invertible? Is it orthogonally diagonalisable? 1. Find a matrix A with 25 as an eigenvalue with eigenvector V₁ with eigenvector V₂ =
H and 0 as an eigenvalue Is your matrix invertible? Is it orthogonally diagonalisable? 1. Find a matrix A with 25 as an eigenvalue with eigenvector V₁ with eigenvector V₂ =
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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1. Find a matrix A with 25 as an eigenvalue with eigenvector V₁
=
and 0 as an eigenvalue
5
with eigenvector V2
=
Is your matrix invertible? Is it orthogonally diagonalisable?
2. Let A be a 3 × 3 matrix. Assume 1 and 2 are the only eigenvalues of A.
Determine whether the following statements are always true. If true, justify why. If not
true, provide a counterexample.
Statement A: If v₁ is an eigenvector of A corresponding to 1 and v2 is an eigenvector
corresponding to 2, then A(v₁ + V₂) = 3(V1 + V2)
Statement B: One of the eigenspaces of A is two-dimensional, and the other is one-
dimensional.
MATHS 208 - Tutorial 8
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1. Find a matrix A with 25 as an eigenvalue with eigenvector V₁
=
and 0 as an eigenvalue
5
with eigenvector V2
=
Is your matrix invertible? Is it orthogonally diagonalisable?
2. Let A be a 3 × 3 matrix. Assume 1 and 2 are the only eigenvalues of A.
Determine whether the following statements are always true. If true, justify why. If not
true, provide a counterexample.
Statement A: If v₁ is an eigenvector of A corresponding to 1 and v2 is an eigenvector
corresponding to 2, then A(v₁ + V₂) = 3(V1 + V2)
Statement B: One of the eigenspaces of A is two-dimensional, and the other is one-
dimensional.
MATHS 208 - Tutorial 8
Page 1 of 1
Topic 2 Exampl....docx
Topic 2 SCF Can....ppt
208 tut 8 (2022 s1).pdf
Download 208 tut 8 (2022 s1).pdf (105 KB)
◄ Previous
Keynesian beau....docx
3240
【 X
[X
N Anson & Waiting's...
PL
ACC
Shoo X
Topic 1.pptx
Ansv X
Python - OI...
Disc X
Anson & Waiting -..
Cale X
Next ►
Peer X
208 X
=S
N Answers from Ans...
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