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Consider the system of linear equations
X + ay = 1
2x + 8y = b
Where a and b are real numbers.
(a) Write out the augmented matrix for this system of linear equations.
(b) Use elementary row operations to reduce the augmented matrix to row-echelon form.
(c) Determine for what values of a and b does the system have infinitely many solutions.
(d) Determine for what values of a and b does the system have no solution.
(e) Determine for what values of a and b does the system have an unique solution.
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47x+33y=143
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