Suppose a system of linear equations has augmented

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2. Suppose a system of linear equations has augmented matrix 1 1 0 1 b 2 3 1 5 6 0 0 1 1 4 0 2 2 a 1 . For what values of a and b does the system have (i) No solution. (ii) A unique solution. (iii) Infinitely many solutions.
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[10] 3. Consider the matrix A = 1 2 1 5 12 1 . Find an invertible (non-singular) matrix B such that BA is the reduced row echelon form of A .
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