Find the General Solutions for x, and x,. x1 = -4x1 + 3x2 x, = -2x1+ X2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1) Find the General Solutions for x, and x,.
x1 = -4x1 + 3x2
x, = -2x1+ X2
Transcribed Image Text:1) Find the General Solutions for x, and x,. x1 = -4x1 + 3x2 x, = -2x1+ X2
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.

A=\begin{pmatrix}-4&3\\ -2&1\end{pmatrix}

(A-xI) \:\:is,

\begin{pmatrix}-4&3\\ -2&1\end{pmatrix}-x\begin{pmatrix}1&0\\ 0&1\end{pmatrix}

=\begin{pmatrix}-4-x&3\\ -2&1-x\end{pmatrix}

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