Check the following setW =8>>><>>>:26664x1x2...xm377752 Rmjx1 09>>>=>>>;over the eld of reals is a subspace of the specied vector spaceV =8>>><>>>:26664x1x2...xm377752 Rm9>>>=>>>; 2. Check the following set--x2W =E R"|x1 > 0Xmover the field of reals is a subspace of the specified vector spaceX2V =E Rm

Answered: 2. Check the following set -- x2 W = E…

2. Check the following set -- x2 W = E R"|x1 > 0 Xm over the field of reals is a subspace of the specified vector space X2 V = E Rm

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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Concept explainers

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

Check the following set
W =
8>>><
>>>:
2
6664
x1
x2
...
xm
3
7775
2 Rmjx1 0
9>>>=
>>>;
over the eld of reals is a subspace of the specied vector space
V =
8>>><
>>>:
2
6664
x1
x2
...
xm
3
7775
2 Rm
9>>>=
>>>;

2. Check the following set
--
x2
W =
E R"|x1 > 0
Xm
over the field of reals is a subspace of the specified vector space
X2
V =
E Rm

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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