irst question: Given the system of equations 2x - 2y + 4z = 4 x + 2z = 2 x+z=1 Find the following: 1) Extract the coefficient matrix and calculate its inverse 2) Show that the coefficient matrix is not an orthogonal matrix 3) Find the solution of system 4) If 4 in

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 54E
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First question: Given the system of equations
2x – 2y + 4z = 4
x + 2z = 2
x +z = 1
Find the following:
1) Extract the coefficient matrix and calculate its inverse
2) Show that the coefficient matrix is not an orthogonal matrix
3) Find the solution of system
4) If A is the coefficient matrix of the system, then find:
a) JA|-3
b) 3AT – 21
c) rank(A)
Transcribed Image Text:First question: Given the system of equations 2x – 2y + 4z = 4 x + 2z = 2 x +z = 1 Find the following: 1) Extract the coefficient matrix and calculate its inverse 2) Show that the coefficient matrix is not an orthogonal matrix 3) Find the solution of system 4) If A is the coefficient matrix of the system, then find: a) JA|-3 b) 3AT – 21 c) rank(A)
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