Consider two bases B= {b1,b2,b3} and C= {c1.c2.c3) for a vector space V such that b, = c, +2c3, b2 = c, +5c2 - C3, and b3 = 3c, - c2. Supposex = b, + 4b, + b3. That is, suppose [x3 = 4Find [x]c-OA.8OB.81919- 26OC.OD.832120-4-1

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Consider two bases B= {b1,b2. b3} and C = {c1.c2.c3} for a vector space V such that b, = c, + 2c3, b2 = c1 +5c2 - C3, and bz = 3c1 - c2. Suppose x = b, + 4b, + b3. That is, suppose [x]; = 4 Find [x]c O A. OB. 8 8 19 19 -2 6 OC. OD. 8 21 -4

Consider two bases B= {b1,b2. b3} and C = {c1.c2.c3} for a vector space V such that b, = c, + 2c3, b2 = c1 +5c2 - C3, and bz = 3c1 - c2. Suppose x = b, + 4b, + b3. That is, suppose [x]; = 4 Find [x]c O A. OB. 8 8 19 19 -2 6 OC. OD. 8 21 -4

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

Consider two bases B= {b1,b2,b3} and C= {c1.c2.c3) for a vector space V such that b, = c, +2c3, b2 = c, +5c2 - C3, and b3 = 3c, - c2. Suppose
x = b, + 4b, + b3. That is, suppose [x3 = 4
Find [x]c-
OA.
8
OB.
8
19
19
- 2
6
OC.
OD.
8
3
21
20
-4
-1

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