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.
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.
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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