Question: 2. Given the following linear system: I1 + 33:: 2x3 + 2x5 2 D 2x1 + 61': 51'3 2x4 + 4x5 3x5 = 1 513

2. Given the following linear system: I1 + 33:: 2x3 + 2x5 2 D 2x1 + 61': 51'3 2x4 + 4x5 3x5 = 1 513 + 1014 + 151}, = 5 213 + 6x: + 311 + 41'; + 131}, = l] {a} Solve the system by Gauss-Jordan elimination (b) Determine a basic for the null space of the augmented matrix A. What is the dimension of the null space? (c) Determine the basis for the null space of A. What is the nullityr cf the null space? {1 5 marks]

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