A) Solve the linear system-2x1 + x2 3x3= 0x13x₂ + 2x4= 0-x₁ - x₂ + 2x3 x4 = 0-using the Gauss elimination method.B) Let A be a diagonal matrix. Is it true that itsinverse A¹ always exists and also a diagonalmatrix? Give a detailed explanation to youranswer.

Answered: A) Solve the linear system -2x1 + x₂…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.7: Solving Systems With Inverses

Problem 5SE: Can a matrix with zeros on the diagonal have an inverse? If so, find an example. If not, prove why...

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A) Solve the linear system -2x1 + x₂ 3x3 x1 x₁ - 3x₂ + 2x4 -x₁ - x₂ + 2x3 x4 - - = 0 = 0 = 0 using the Gauss elimination method. B) Let A be a diagonal matrix. Is it true that its -1 inverse A¹ always exists and also a diagonal matrix? Give a detailed explanation to your answer.