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Problem #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 Problem #10: = A(ATA) ¹AT, P = 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. Enter your answer symbolically, as in these examples

Problem #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 Problem #10: = A(ATA) ¹AT, P = 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. Enter your answer symbolically, as in these examples

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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Problem #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 Was 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. Problem #10: Enter your answer symbolically, as in these examples
Transcribed Image Text:Problem #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 Was 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. Problem #10: Enter your answer symbolically, as in these examples
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