6Given v =14-8find the coordinates for v in the subspace W spanned by-7-423-21U2Uz-1and u41-116-21511Note that u1, Uz, Uz and u4 are orthogonal.Uz+Uz+U4

Answered: Image /qna-images/answer/36b042e7-7814-44bc-a8d0-e03a0af10bdb.jpg

Answered: -5 6 Given v = 1 -8 find the…

-5 6 Given v = 1 -8 find the coordinates for v in the subspace W spanned by -7 -4 2 3 -2 1 5 and u4 = U1 U2 = Uz -1 1 -1 16 1 5 Note that u1, Uz, Uz and u4 are orthogonal. v = Uz+ Uz+ | U4 4.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

6
Given v =
1
4
-8
find the coordinates for v in the subspace W spanned by
-7
-4
2
3
-2
1
U2
Uz
-1
and u4
1
-1
16
-2
1
5
1
1
Note that u1, Uz, Uz and u4 are orthogonal.
Uz+
Uz+
U4

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