Answered: Let W be the subspace spanned by u, and…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 10E

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	−1
5
7

	1
1
2

	−3
5
−1

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Part 1

The sum is

y=y+z,

where

y=enter your response here

is in W and

z=enter your response here

is orthogonal to W.

(Simplify your answers.)

Let W be the subspace spanned by u₁ and u₂, and write y as the sum of a vector in W and a vector orthogonal to W.
1
-8-8-8
=
2
=
1
7
The sum is y = y + z, where y =
(Simplify your answers.)
3
is in W and Z =
is orthogonal to W.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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