For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. p- 99 2р + 4r :p, q, r in R - 9q + 6r - 8p + 16г (a) Find a basis for the subspace. A basis for the subspace is ). (Use a comma to separate answers as needed.) (b) State the dimension. The dimension is

For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. p- 99 2р + 4r :p, q, r in R - 9q + 6r - 8p + 16г (a) Find a basis for the subspace. A basis for the subspace is ). (Use a comma to separate answers as needed.) (b) State the dimension. The dimension is

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 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...

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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

For the subspace below, (a) find a basis for the subspace, and (b) state the dimension.
p- 99
2р + 4r
:p, q, r in R
- 9q + 6r
- 8p + 16г
(a) Find a basis for the subspace.
A basis for the subspace is ).
(Use a comma to separate answers as needed.)
(b) State the dimension.
The dimension is

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