ippose we have two vectors in R³, ₁ = 8 and ₂ = 6. Find two vectors, ₁ and ₂ such that v₁ and v₂ an 5 9 thogonal and generate the same subspaces as ₁ and 2, namely, span{v₁} = span{₁} and pan{v₁, v2}= = = span{u₁, U₂}. It is recommended that you closely follow the algorithm in the textbook. V1 = v1 = V1 = V1 = A₁ 6 and ₂ = 8 and ₂ B = 0.871 -2.516 and ₂ 3.677 8 and ₂ = сл со [2.357 4.714 7.071 [] = -A 8 5 0.871 -2.516 3.677

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 59CR
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Question
2
3
Suppose we have two vectors in R³, ₁
=
·8· - B
8 and ₂
9
orthogonal and generate the same subspaces as ₁ and ₂, namely, span{v₁} = span{u₁} and
span{v₁, v₂} span{u₁, ₂}. It is recommended that you closely follow the algorithm in the textbook.
O
V1 =
V1 =
V₁ =
=
3
6 and ₂
9
2
8 and ₂ =
A
5
=
0.871
V1 = -2.516 and v₂ =
3.677
8 and 2
2.357
4.714
7.071
=
8
5
0.871
-2.516
3.677
. Find two vectors, v₁ and ₂ such that ₁ and ₂ are
Transcribed Image Text:2 3 Suppose we have two vectors in R³, ₁ = ·8· - B 8 and ₂ 9 orthogonal and generate the same subspaces as ₁ and ₂, namely, span{v₁} = span{u₁} and span{v₁, v₂} span{u₁, ₂}. It is recommended that you closely follow the algorithm in the textbook. O V1 = V1 = V₁ = = 3 6 and ₂ 9 2 8 and ₂ = A 5 = 0.871 V1 = -2.516 and v₂ = 3.677 8 and 2 2.357 4.714 7.071 = 8 5 0.871 -2.516 3.677 . Find two vectors, v₁ and ₂ such that ₁ and ₂ are
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