Let W = {(x,x2,x3)| x-2x2 0} with the standard operations in R. Which of thefollowing statements is true?W is a subspace of R3.the above is trueNone of theseW is not a subspace of Rbecause (0,0,0) E W(1,1,1)EWthe above is true

we are given that W={(x1,x2,x3) | x1-2x2=0}

Let W = {(x,X2,x3)| x- 2x2 = 0} with the standard operations in R. Which of the following statements is true? %3D W is a subspace of R3. the above is true None of these W is not a subspace of R' because (0,0,0) W (1,1,1)EW the above is true

Let W = {(x,X2,x3)| x- 2x2 = 0} with the standard operations in R. Which of the following statements is true? %3D W is a subspace of R3. the above is true None of these W is not a subspace of R' because (0,0,0) W (1,1,1)EW the above is true

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 W = {(x,x2,x3)| x-2x2 0} with the standard operations in R. Which of the
following statements is true?
W is a subspace of R3.
the above is true
None of these
W is not a subspace of R
because (0,0,0) E W
(1,1,1)EW
the above is true

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