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Consider the following matrix equation: 1 1 1 x 4 -3 2 1 y -7 -1 4 3 z 2 (i) Write the augmented

 

 


Consider the following matrix equation: 1 1 1 x 4 -3 2 1 y -7 -1 4 3 z 2 (i) Write the augmented matrix and apply elementary row operations to obtain the row-echelon form. (7 marks) (ii) What is the rank of the augmented matrix? Explain your reasoning. (iii) How many solutions does this system have? (2 marks) (1 mark)

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