Question: Question 4 (25%) (a) Consider the system of linear equations -1 X, h 2 = -4b (I) : a 2a a 4 *'3 4b where

Question 4 (25%) (a) Consider the system of linear equations -1 X, h 2 = -4b (I) : a 2a a 4 *'3 4b where a and b are constants. Use elementary row operations to find all the value(s) of a and b, if any, for which the system in (1) has (i) a unique solution. (ii) infinitely many solutions. (15 marks) (iii) no solution. (b) Hence find all the value(s) of c, if any, for which the following system of equations is consistent. = X2 + + 6X3 -2c, 3x + (II) 9%2 + = -X + 2 2 + 3x3 = Ac. 2 + 2x7 (10 marks)

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