suppose there is a matrix A, A= 60 0 -3 O оо 6 30 03 о 0 4x4 1. proof there are projections V₁, V₂, Vz such that: A = 6 V₁ + 3√/2₂ -3√3 I = V₁ + V₂ + √₂ V₁ V j = 0 (ij) 2. Write down the matrices of V₁, V₂, Vz in the canonical basis of IR².

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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• Suppose there is a matrix A,
O
A =
60 0
O
6
3
03 о 0
4x4
ER
1. proof there are projections V₁, V₂, Vz such that:
A = 6 V₁ + 3√₂-3√3
I= V₁+ √₂ + V₂
2
V₁ V₂ = 0 (₁ #j)
2. Write down the matrices of V₁, V₂, Vz in the
canonical basis of IRt.
Transcribed Image Text:• Suppose there is a matrix A, O A = 60 0 O 6 3 03 о 0 4x4 ER 1. proof there are projections V₁, V₂, Vz such that: A = 6 V₁ + 3√₂-3√3 I= V₁+ √₂ + V₂ 2 V₁ V₂ = 0 (₁ #j) 2. Write down the matrices of V₁, V₂, Vz in the canonical basis of IRt.
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