Linear Algebra Please do not use any vector with JUST 1 and 0 numbers. Can use the online calculator to make it easier Try to show the steps.I have attached the image with the question. Week 12: Part 1: This exercise will ask you to explore the equality Null(AT) = (Col(A))“. Pick avector u in Rª and a vector v such that u and v are orthogonal; then find a vector w whichis orthogonal to both u and v. Finally, find a vector z which is orthogonal to u, v, w. For thelast two steps, you should realize that you are solving a system of linear equations, and if youwrite them down that the system is represented by A" where the columns of A are the vectorsyou are trying to be orthogonal to. Now, verify with computations that the set {u, v, w, z}is linearly independent. If any of the vectors u, v, w, z are scalars of the standard basisu v w z] and compute withoutvectors e1, e2, e3, e4 then start over. Set the matrix Pcalculations the vectors P-lu, P¯lv, P¯lw, and P-lz.

Please check next steps for solution.!

Answered: eek 12: Part 1: This exercise will ask…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

See similar textbooks

Related questions

Question

Linear Algebra

Please do not use any vector with JUST 1 and 0 numbers.

Can use the online calculator to make it easier

Try to show the steps.

I have attached the image with the question.

Week 12: Part 1: This exercise will ask you to explore the equality Null(AT) = (Col(A))“. Pick a
vector u in Rª and a vector v such that u and v are orthogonal; then find a vector w which
is orthogonal to both u and v. Finally, find a vector z which is orthogonal to u, v, w. For the
last two steps, you should realize that you are solving a system of linear equations, and if you
write them down that the system is represented by A" where the columns of A are the vectors
you are trying to be orthogonal to. Now, verify with computations that the set {u, v, w, z}
is linearly independent. If any of the vectors u, v, w, z are scalars of the standard basis
u v w z] and compute without
vectors e1, e2, e3, e4 then start over. Set the matrix P
calculations the vectors P-lu, P¯lv, P¯lw, and P-lz.

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.

Expert Solution