Answered: Q7) Find a basis for the subspace and…

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Q7) Find a basis for the subspace and state the dimension. {[2c a − b b − 3c a + 2b]:a, b, c in R}.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 69E: Find a basis for R2 that includes the vector (2,2).

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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

Q7) Find a basis for the subspace and state the dimension.

{[2c
a − b
b − 3c
a + 2b]:a, b, c in R}.

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