P₁1 =P₂1P31P1 =P₂ ==P3 ==3What is the matrix P = (P; ;) for the projection of a vector b E R³ onto the subspace spanned by the vector a =P12=What is the projection p of the vector b =P₂2 =P32 =-9-72P₁3 =P₂3 =P3 3 =onto this subspace?-2-6?-4

Answered: Image /qna-images/answer/0d8f43be-b07a-4e6b-8583-983bf4413a7b.jpg

Answered: P₁₁ = P₁2 = P₁3 = P₂2 = P₂3 = DE P32 =…

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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The null space for the matrix is spanned by the vector 0 5 2 4 -1 1 0 1 1 2 -1 6 4 5 4
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I need help with both parts using the matrix way
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P₁₁ = P₁2 = P₁3 = P₂2 = P₂3 = DE P32 = P3 3 = -9 What is the projection p of the vector b = -7 P₂1 = P31 = P1 = P2 = What is the matrix P = (P; j) for the projection of a vector b = R³ onto the subspace spanned by the vector a = P3 = onto this subspace? -6?