• 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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Answered: suppose there is a matrix A, A= 60 0 -3…

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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d) All of the above LQ9. Suppose A is the 4 by 4 identity matrix with its lASt column removed.The projection matrix P that projects the vector b = (1, 2,3, 4) onto the column space of A is %3D a) the 4 by 4 identity matrix. b) the 3 by 3 identity matrix. c) the 4 by 4 matrix whose fourth column and row are zeros with a 3 by 3 identity matrix sitting in its upper left Comer.
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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.