(a) Find all solutions for x = [x1 x2 x3]T (this is a 3x1 matrix) of the equation system Ax = 9x where A = [3 4 3 2 5 3 0 2 6]. (b) What is the dimension of the solution set of Ax = 9x? Note that, in order to answer this question you need first to argue why it is allowed to speak about the dimension of the solution set of Ax = 9x.

(a) Find all solutions for x = [x1 x2 x3]T (this is a 3x1 matrix) of the equation system Ax = 9x where A = [3 4 3 2 5 3 0 2 6]. (b) What is the dimension of the solution set of Ax = 9x? Note that, in order to answer this question you need first to argue why it is allowed to speak about the dimension of the solution set of Ax = 9x.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

(a) Find all solutions for x = [x1 x2 x3]T (this is a 3x1 matrix) of the equation system Ax = 9x

where

A =

[3 4 3

2 5 3

0 2 6].

(b) What is the dimension of the solution set of Ax = 9x?
Note that, in order to answer this question you need first to argue why it is allowed to speak about the dimension of the solution set of Ax = 9x.

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