Question 2 Let V = R. Which of the following linear transformations is diagonalisable. C1 (a)...

 

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Question 2 Let V = R³. Which of the following linear transformations is diagonalisable. C1 (a) (i) Tx2 X3 (ii) S X1 x2 X3 2x1 +4x2+6x3 2x2 + 2x3 4x3 -2x3 = x1 + 2x2 + x3 x1 + 3x3 5) Determine the invertible matrix P and the diagonal matrix D of the diagonalisabl linear transformation in (a). [17,6],[7 Question 2 Let V = R³. Which of the following linear transformations is diagonalisable. C1 (a) (i) Tx2 X3 (ii) S X1 x2 X3 2x1 +4x2+6x3 2x2 + 2x3 4x3 -2x3 = x1 + 2x2 + x3 x1 + 3x3 5) Determine the invertible matrix P and the diagonal matrix D of the diagonalisabl linear transformation in (a). [17,6],[7

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