If possible, solve the following system by using Cramer's rule. If the system is consistent and does not have a unique solution, use reduced row echelon form to verify your results and to find the general solution to the system. 3x1 +2r2-x3 = 4 x1 - 2x2 +2r3 = 1 11x1 +2x2+xrz = 14

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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If possible, solve the following system by using Cramer's rule. If the system is consistent and does not have
a unique solution, use reduced row echelon form to verify your results and to find the general solution to the
system.
3x1 +2x2-x3 = 4
x1 – 2x2 +2r3 = 1
1 1x1 +2x2+x3 = 14
Transcribed Image Text:If possible, solve the following system by using Cramer's rule. If the system is consistent and does not have a unique solution, use reduced row echelon form to verify your results and to find the general solution to the system. 3x1 +2x2-x3 = 4 x1 – 2x2 +2r3 = 1 1 1x1 +2x2+x3 = 14
Consider the following 3 x 3 system.
a11 a12 a13
a21
a22
a23
a31
a32
A33
Use elementary row operations to show that the determinant is given by
a12a21a33 +a12a31a23 +a13a21a32- a13A31a22
A|=a11a22a33 – A11d32A23
and state the conditions under which the matrix would be singular. You must show all necessary workings to
Transcribed Image Text:Consider the following 3 x 3 system. a11 a12 a13 a21 a22 a23 a31 a32 A33 Use elementary row operations to show that the determinant is given by a12a21a33 +a12a31a23 +a13a21a32- a13A31a22 A|=a11a22a33 – A11d32A23 and state the conditions under which the matrix would be singular. You must show all necessary workings to
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