• Suppose there is a matrix A,OA =60 0O6303 о 04x4ER1. proof there are projections V₁, V₂, Vz such that:A = 6 V₁ + 3√₂-3√3I= V₁+ √₂ + V₂2V₁ V₂ = 0 (₁ #j)2. Write down the matrices of V₁, V₂, Vz in thecanonical basis of IRt.

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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.

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.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...

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Question

• 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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