Answered: -3' Let u1 = 2, uz , Uz = -4 is an…

-3' Let u1 = 2, uz , Uz = -4 is an orthogonal basis of R3 and x = 2 If x can be expressed as a linear combination of u's then c 5 19 13 a) b) c) d) None of these 7 42 14

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 71E

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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

--A
-3
Let u1 =
2, u2
, Uz
-4 is an orthogonal basis of R$ and x =| 2
If x can be expressed as a linear combination of u's then c1 =
a) -
5
19
13
b)
c)
d)
None of these
42
14

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