(a) Find orthonormal vectors q₁, q2, q3 such that q₁, q2 span the column space of 1 1 A = 2 -2 q1= 13 23 23 22 √857 18 857 4 √117 1 and 92=> and 117 93= 10 √117 7 √857 (b) Which of the four fundamental subspaces contains q3? left nullspace (c) Solve Ax = 2 by least squares: <☑

(a) Find orthonormal vectors q₁, q2, q3 such that q₁, q2 span the column space of 1 1 A = 2 -2 q1= 13 23 23 22 √857 18 857 4 √117 1 and 92=> and 117 93= 10 √117 7 √857 (b) Which of the four fundamental subspaces contains q3? left nullspace (c) Solve Ax = 2 by least squares: <☑

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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Question

(a) Find orthonormal vectors q₁, q2, q3 such that q₁, q2 span the column space of
1
1
A
=
2
-2
q1=
13
23
23
22
√857
18
857
4
√117
1
and
92=>
and
117
93=
10
√117
7
√857
(b) Which of the four fundamental subspaces contains q3? left nullspace
(c) Solve Ax = 2 by least squares:
<☑

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