Let W be the subspace of R4 spanned by the following vectors: 8.) Find a basis for W and state its dimension. 9.) Find a basis for Wand state its dimension. -2 2 -3 1 0 3 5 -4 7 -10 2 2 -11

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 73CR
icon
Related questions
Question
100%

doing rref I believe dimension is 3, but I'm not sure how to state the basis or how to find the orthogonal basis

Let W be the subspace of R4 spanned by the following vectors:
++1+0+0
W3
3
W1 =
8.) Find a basis for W and state its dimension.
9.) Find a basis for W and state its dimension.
-2
2
-10
2
2
11
Transcribed Image Text:Let W be the subspace of R4 spanned by the following vectors: ++1+0+0 W3 3 W1 = 8.) Find a basis for W and state its dimension. 9.) Find a basis for W and state its dimension. -2 2 -10 2 2 11
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer