V is a 3-dimensional vector space with a basis B = (v1, v2, v3). Let wi = v1 + v2 , w2 = v1 – V3, W3 = v1 + 2v2 + 2v3. ThenB' = (w1, w2 , w3) is also a basis of C1 V. If [3v1 + 2v2 + v1]g then which of the following is equal to c + c2+ c3? C2 C3 39 O 7 46 O 3 6.

V is a 3-dimensional vector space with a basis B = (v1, v2, v3). Let wi = v1 + v2 , w2 = v1 – V3, W3 = v1 + 2v2 + 2v3. ThenB' = (w1, w2 , w3) is also a basis of C1 V. If [3v1 + 2v2 + v1]g then which of the following is equal to c + c2+ c3? C2 C3 39 O 7 46 O 3 6.

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 3-dimensional vector space with a basis B = (v1, v2, v3). Let
wi = v1 + v2 , w2 = v1 – V3, W3 = v1 + 2v2 + 2v3. ThenB' = (w1, w2 , w3) is also a basis of
C1
V. If [3v1 + 2v2 + v1]g
then which of the following is equal to c + c2+ c3?
C2
C3
39
O 7
46
O 3
6.

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