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P₁1 = P₂1 = P31 = P1 = P2 = What is the matrix P = (P; ;) for the projection of a vector b E R³ onto the subspace spanned by the vector a = 9 -3 ? 2 What is the projection p of the vector b = - P3 = P₁2 = P₂2 = P32 = NO 0 P₁3 = P₂3 = P3 3 = onto this subspace? Check your answer for p against the formula for p on page 208 in Strang.

P₁1 = P₂1 = P31 = P1 = P2 = What is the matrix P = (P; ;) for the projection of a vector b E R³ onto the subspace spanned by the vector a = 9 -3 ? 2 What is the projection p of the vector b = - P3 = P₁2 = P₂2 = P32 = NO 0 P₁3 = P₂3 = P3 3 = onto this subspace? Check your answer for p against the formula for p on page 208 in Strang.

Advanced Engineering Mathematics
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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P₁₁ = P₂1 = P31 = P1 = P2 = P3 = ) What is the matrix P = = (P₁ ;) for the projection of a vector b = R³ onto the subspace spanned by the vector a = P₁2 = What is the projection p of the vector b = P₂2 = P32 = P₁3 = P₂3 = P3 3 = onto this subspace? Check your answer for p against the formula for p on page 208 in Strang. 9 -3? 2
Transcribed Image Text:P₁₁ = P₂1 = P31 = P1 = P2 = P3 = ) What is the matrix P = = (P₁ ;) for the projection of a vector b = R³ onto the subspace spanned by the vector a = P₁2 = What is the projection p of the vector b = P₂2 = P32 = P₁3 = P₂3 = P3 3 = onto this subspace? Check your answer for p against the formula for p on page 208 in Strang. 9 -3? 2
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