Question: 8. Write your solutions for this question on the Answer Sheets, Page 4 [6 marks] (a) Let L : R3 > R3 be the matrix

8. Write your solutions for this question on the Answer Sheets, Page 4 [6 marks] (a) Let L : R3 > R3 be the matrix transformation dened by 1 L(?)=7x?, with?ER3and7= 1 Show that the standard matrix of L is 0 1 0 [L] = 1 0 1 0 1 0 [5 marks] (b) Let P : R3 > R3 be the orthogonal projection onto the plane 2:13 y + z = 0. Find the standard matrix [P] of P. [4 marks] (0) Using (a) and the answer in (b), nd the standard matrix [T] of the matrix transformation T obtained by performing L after P

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