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Consider the following system of equations in $x, y, z$ :

    $x+2y+2z = 1 \\ x+ay+3z = 3\\ x+11y+az=b.$

(i) For which values of $a$ does the system have a unique solution?

(ii) For which pair of values $(a, b)$ does the system have more than one solution?
asked Dec 22, 2017 by randomisation (1,920 points)  

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