Answered: Find a basis for sunspaces of R4…

Find a basis for sunspaces of R4 a)the vector for which is x1=2x4 b)the subspace spanned by (1,1,1,1), (1,2,3,4)and (2,3,4,5)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 61CR: Find the bases for the four fundamental subspaces of the matrix. A=[010030101].

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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

Find a basis for sunspaces of R⁴

a)the vector for which is x₁=2x₄

b)the subspace spanned by (1,1,1,1), (1,2,3,4)and (2,3,4,5)

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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