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

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A: This is a problem related to matrix operations. Please follow the procedure given below.

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A: Solution : Given system is                                x1 + 2x2 + 4x3     = - 2 x2 + 5x3…

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A: Step 1:Step 2:

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A: I have written the given system as Augmented matrix and by row operations i have solved the problem

Q: -6x + 39y9z = -12 2x - 13y + 3z = 4

A: We have to determine the rank of the matrix.

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Q: (x-3y +3z = -8 7x+y +2z = 6 3x +2y - z = 4

A: Topic:- matrix