Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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#10: Let W be the plane with the equation 4x -y +7= = 0. Find the standard matrix P for the orthogonal projection onto W. Use the following formula P = A(ATA)¹A¹, 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.
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Transcribed Image Text:#10: Let W be the plane with the equation 4x -y +7= = 0. Find the standard matrix P for the orthogonal projection onto W. Use the following formula P = A(ATA)¹A¹, 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.
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Step 1: Finding basis of W
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Step 2: Finding $A^TA$
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Step 3: Finding $(A^TA)^-1$
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Solution
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