Elementary row operations to reduce the augmented matrix, Mathematics

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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.

(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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