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2. Let T: R R be a linear transformation such that its kernel is -> {B (a) Determine a basis B for R that

2. Let T: R R be a linear transformation such that its kernel is -> {B (a) Determine a basis B for R that contains a basis for Ker T. Ker (T) = ER a+b+c=0 (b) Determine the linear transformation T. [ 5 marks] [ 5 marks]

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a To find a basis for KerT we need to find vectors in that satisfy the equation a b c 0 Lets start b... blur-text-image

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