Let B1 = {wi, w2, w3} be B2 = {V1, V2, V3} be two ordered bases of the real vector space V such that w1+ w2 - w3 w1+2w2 – 3w3 w2 – 3w3 If [T]B, = (1,–2,5), then which of the following is [T],? (a) (1,–2,5) (b) (–1,2, – 10) (c) (4,–3,0) (d) (-4,3,0) (e) (1,2,10)

Let B1 = {wi, w2, w3} be B2 = {V1, V2, V3} be two ordered bases of the real vector space V such that w1+ w2 - w3 w1+2w2 – 3w3 w2 – 3w3 If [T]B, = (1,–2,5), then which of the following is [T],? (a) (1,–2,5) (b) (–1,2, – 10) (c) (4,–3,0) (d) (-4,3,0) (e) (1,2,10)

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

Let B1 = {wi, w2, w3} be B2 = {V1, V2, V3} be two ordered bases of the real vector space V
such that
w1+ w2 - w3
w1+2w2 – 3w3
w2 – 3w3
If [T]B, = (1,–2,5), then which of the following is [T],?
(a) (1,–2,5)
(b) (–1,2, – 10)
(c) (4,–3,0)
(d) (-4,3,0)
(e) (1,2,10)

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