Let W be the plane with the equation 3x-y+ 7 = 0. Find the standard matrix P for the orthogonal projection onto W. Use the following formula P = A(A¹A)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.
Let W be the plane with the equation 3x-y+ 7 = 0. Find the standard matrix P for the orthogonal projection onto W. Use the following formula P = A(A¹A)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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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![10: Let W be the plane with the equation 3x-y+ 7 = 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 Pi1, P12, P13-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff343651e-c46c-419d-8f81-2ed17d4ca38d%2Faebb4806-5bb2-46ea-bce5-4a71578f55a6%2Fdb82gmd_processed.png&w=3840&q=75)
Transcribed Image Text:10: Let W be the plane with the equation 3x-y+ 7 = 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 Pi1, P12, P13-
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