Given the system -2x + 3y - z = 1 x-2y-z = 4 2x ly + z = -3 - A. Create an augmented matrix B. Solve the system by Gauss elimination method Replace the right side of equations in the system by zeros and explain, whether this system has a nontrivial solution. C. Is the coefficient matrix nonsingular? (explain your answer) if yes, find the inverse

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Chapter11: Matrices And Determinants
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Work Problem 1 (**)
Given the system
-2x + 3y z = 1
x - 2yz = 4
2x ly + z = -3
-
A. Create an augmented matrix
B. Solve the system by Gauss elimination method
Replace the right side of equations in the system
by zeros and explain, whether this system has a
nontrivial solution.
C. Is the coefficient matrix nonsingular? (explain
your answer) if yes, find the inverse
Transcribed Image Text:Work Problem 1 (**) Given the system -2x + 3y z = 1 x - 2yz = 4 2x ly + z = -3 - A. Create an augmented matrix B. Solve the system by Gauss elimination method Replace the right side of equations in the system by zeros and explain, whether this system has a nontrivial solution. C. Is the coefficient matrix nonsingular? (explain your answer) if yes, find the inverse
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