Question: b. A transformation f: 13 - 2 is defined by f(x1,X2,X3) = (X1+ X2 -2x3, -X1+ X2 +X3) i. Show that f is a linear

b. A transformation f: 13 - 2 is defined by f(x1,X2,X3) = (X1+ X2 -2x3, -X1+ X2 +X3) i. Show that f is a linear transformation. (4 marks) ii. Write down the standard matrix of f with respect to the standard bases of R3 and R2. (2 marks)iii. Show that f is not a oneto-one transformation (2 marks) iv. Find the kernel off. (2 marks)

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