(d) Consider the following system of linear equations 2x1 – 3x2 + x3 - 3x4 + 2x5 = 6 2x1 – 3x2 + 5x3 – X4 + x5 = 8 4x3 + 3x4 + 2x5 = 3 -2x1 + 3x2 + 3x3 + 3x4 – 9x5 = -6 (1) Is the following system consistent? Provide a justification for your decision. Ensure that you explain each step in the computation. (ii) Can Cramer's rule and the matrix inversion method be used to solve the system? Justify your response.

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Chapter2: Second-order Linear Odes
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(d) Consider the following system of linear equations
2x1 – 3x2 + x3 - 3x4 + 2x5 = 6
2x1 – 3x2 + 5x3 – X4 + x5 = 8
4x3 + 3x4 + 2x5 = 3
-2x1 + 3x2 + 3x3 + 3x4 – 9x5 = -6
(1) Is the following system consistent? Provide a justification for your decision. Ensure that you
explain each step in the computation.
(ii) Can Cramer's rule and the matrix inversion method be used to solve the system? Justify your
response.
Transcribed Image Text:(d) Consider the following system of linear equations 2x1 – 3x2 + x3 - 3x4 + 2x5 = 6 2x1 – 3x2 + 5x3 – X4 + x5 = 8 4x3 + 3x4 + 2x5 = 3 -2x1 + 3x2 + 3x3 + 3x4 – 9x5 = -6 (1) Is the following system consistent? Provide a justification for your decision. Ensure that you explain each step in the computation. (ii) Can Cramer's rule and the matrix inversion method be used to solve the system? Justify your response.
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