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10: Let W be the plane with the equation 7x-y + 5z = 0. Find the standard matrix P for the orthogonal projection onto W. Use the following formula P = A(ATA) ¹AT, where the matrix A is constructed using any basis for W as its column vectors. Enter the first row of the matrix P (in order) into the answer box below, separated with commas. i.e., enter the values P11 P12, P13.

10: Let W be the plane with the equation 7x-y + 5z = 0. Find the standard matrix P for the orthogonal projection onto W. Use the following formula P = A(ATA) ¹AT, where the matrix A is constructed using any basis for W as its column vectors. Enter the first row of the matrix P (in order) into the answer box below, separated with commas. i.e., enter the values P11 P12, P13.

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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#10: Let W be the plane with the equation 7x-y + 5z = 0. Find the standard matrix P for the orthogonal projection onto W. Use the following formula P = A(ATA) ¹AT, where the matrix A is constructed using any basis for W as its column vectors. Enter the first row of the matrix P (in order) into the answer box below, separated with commas. i.e., enter the values P11 P12, P13.
Transcribed Image Text:#10: Let W be the plane with the equation 7x-y + 5z = 0. Find the standard matrix P for the orthogonal projection onto W. Use the following formula P = A(ATA) ¹AT, where the matrix A is constructed using any basis for W as its column vectors. Enter the first row of the matrix P (in order) into the answer box below, separated with commas. i.e., enter the values P11 P12, P13.
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