4. Consider two vectors 71 = |2 and 7 (a) Find a vector which is orthogonal to both of these vectors.Call it (b) Verify that this vector is linearly independent with 71 and 72.- (c) Now remaining within the subspace spanned by 71 and 72, replace 71 with a vector that is orthogonal to 72. Call it 7. Show that is still orthogonal to d.

4. Consider two vectors 71 = |2 and 7 (a) Find a vector which is orthogonal to both of these vectors.Call it (b) Verify that this vector is linearly independent with 71 and 72.- (c) Now remaining within the subspace spanned by 71 and 72, replace 71 with a vector that is orthogonal to 72. Call it 7. Show that is still orthogonal to d.

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 42CR: Repeat Exercise 41 for B={(1,2,2),(1,0,0)} and x=(3,4,4). Let B={(0,2,2),(1,0,2)} be a basis for a...

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Pls solve part a-c

4. Consider two vectors 71 = |2] and 72 =
(a) Find a vector which is orthogonal to both of these vectors.Call it w
(b) Verify that this vector is linearly independent with 71 and 72. -
(c) Now remaining within the subspace spanned by 71 and 72, replace 1 with a vector
that is orthogonal to 72. Call it 7. Show that d is still orthogonal to d.
(d) 72, ở and 7 form an orthogonal basis. Express the vector
as a linear combination
of this basis

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