Answered: Find the projection of x on to Row(A).…

Find the projection of x on to Row(A). Call this vector Row. Show that XNul and Row are orthogonal. Will this be the case for all matrices A and all vectors x? Explain.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter5: Factoring Polynomials

Section5.6: Squares Of Binomials

Problem 4MRE

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Question

Where x_nul = (-1, -1, 1, -2, 0) <- a vector. (if this is not right, please use your own result)

Find the projection of x on to Row(A). Call this vector Row.
Show that XNul and Row are orthogonal. Will this be the case for all matrices A and all
vectors x? Explain.

Let
X =
TONT.
1
and
3
0
A = 0
3
1
0
-2
-4
-4
0
3
00
-2 00
-4 0 1
-1
01
1
0 0

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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