Question: Please provide steps and explanations 2x1 - 3x2 + 2x3 + 24 OT ON 1. (10 marks) Consider the following linear system: 21+ 4x2 -

Please provide steps and explanations

2x1 - 3x2 + 2x3 + 24 OT ON 1. (10 marks) Consider the following linear system: 21+ 4x2 - 3x3 = 0x1 + 3x2 - 5x3 + 24 = 3x1 - 8x2 + 3x3 + 5x4 = (a) Find the coefficient matrix of the above system. (b) Write the above linear system in matrix notation. (c) Find the augmented matrix of the above system. (d) Solve the system using the Gauss-Jordan elimination method. Is the system consistent? (e) Suppose that we are solving the following system Ax = 0, where A is a matrix found in (a). Explain why it has only the trivial solution

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