V is a vector space with a basis B = (v1, v2, v3).%3DIf wi = vị + v2 + 2v3, w2 = v1 + 2v2 + 3v3, and wz = vi +3v2 + 4v3 which ofthe following is a dependence relation on (wi, w2, w3)?%3Da)1b)3()c)d)e) There are no dependence relations since (w1, w2, W3) is linearly independent.

I have to find for which linear combination of w's we get zero

V is a vector space with a basis B = (v1, v2, V3). If wi = v1 + v2 + 2v3, w2 = v1 + 2v2 + 3v3, and wz = v1 + 3v2 + 4v3 which of the following is a dependence relation on (w1, w2, w3)? a) b) -3 c) d) e) There are no dependence relations since (w1, w2, w3) is linearly independent.

V is a vector space with a basis B = (v1, v2, V3). If wi = v1 + v2 + 2v3, w2 = v1 + 2v2 + 3v3, and wz = v1 + 3v2 + 4v3 which of the following is a dependence relation on (w1, w2, w3)? a) b) -3 c) d) e) There are no dependence relations since (w1, w2, w3) is linearly independent.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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

V is a vector space with a basis B = (v1, v2, v3).
%3D
If wi = vị + v2 + 2v3, w2 = v1 + 2v2 + 3v3, and wz = vi +3v2 + 4v3 which of
the following is a dependence relation on (wi, w2, w3)?
%3D
a)
1
b)
3
()
c)
d)
e) There are no dependence relations since (w1, w2, W3) is linearly independent.

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