Suppose matrix A has the SVD A = UEVT. The matrix U has exactly three columns, u₁, 2, 3. The first left singular vector of A is and the second singular vector of A is Determine the entries of the third left singular vector ug such that Assume that 81, 82, and 83 are all positive numbers. --() --0 −100 21:00 21/01 ܒ ܩܘ ܝܐ ܩܘ ܒܗ ܗܘ -(9)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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Suppose matrix A has the SVD A
=
UEVT. The matrix U has exactly three columns, u₁, u2, u3. The first left singular vector of A is
and the second singular vector of A is
Determine the entries of the third left singular vector u3 such that
Assume that $1, 82, and s3 are all positive numbers.
--0
WN WON W
3
-0
U2
=
3
2
-2
ܒܐ ܟܘ ܂ ܩܘ ܟܬ ܚܘ
--(3)
Transcribed Image Text:Suppose matrix A has the SVD A = UEVT. The matrix U has exactly three columns, u₁, u2, u3. The first left singular vector of A is and the second singular vector of A is Determine the entries of the third left singular vector u3 such that Assume that $1, 82, and s3 are all positive numbers. --0 WN WON W 3 -0 U2 = 3 2 -2 ܒܐ ܟܘ ܂ ܩܘ ܟܬ ܚܘ --(3)
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