Let V be the plane with equation ₁ + 3x2 − 4x3 = 0 in R³. Find the matrix A of the orthogonal -14] projection onto the line spanned by the vector 2 {10} -2 A= = = with respect to the basis

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let V be the plane with equation ₁ + 3x2 − 4x3 = 0 in R³. Find the matrix A of the orthogonal
-14]
projection onto the line spanned by the vector
2
-2
A=
=
=
with respect to the basis
{[1].4}
0
Transcribed Image Text:Let V be the plane with equation ₁ + 3x2 − 4x3 = 0 in R³. Find the matrix A of the orthogonal -14] projection onto the line spanned by the vector 2 -2 A= = = with respect to the basis {[1].4} 0
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