2. Let T: R R be a linear transformation such that its kernel is -> {B...

Transcribed Image Text:

2. Let T: R¹ R² be a linear transformation such that its kernel is -> {B (a) Determine a basis B for R¹ that contains a basis for Ker T. Ker (T) = ER¹ a+b+c=0 (b) Determine the linear transformation T. [ 5 marks] [ 5 marks] 2. Let T: R¹ R² be a linear transformation such that its kernel is -> {B (a) Determine a basis B for R¹ that contains a basis for Ker T. Ker (T) = ER¹ a+b+c=0 (b) Determine the linear transformation T. [ 5 marks] [ 5 marks]

Answer rating: 100% (QA)

a To find a basis for KerT we need to find vectors in that satisfy the equation a b c 0 Lets start b... View the full answer