O-LevelMathematicsVectors and transformations4024/12 · Oct/Nov 2015 · Q265 Marks
Write down the matrix A = [[2, 2, 8], [0, 1, 3]].
- (a)Write down the matrix A = [[2, 2, 8], [0, 1, 3]].[2]
- (b)(i)Find the matrix [[1, 0], [2, 0]] or any equivalent.[1]
- (b)(ii)Solve a matrix equation, such as M × [[2,0],[0,1]] = [[2,2],[0,2]] or (a b / c d) × [[2,0],[1,0]] = [[1,0],[1,3]] (which is equal to your (a) answer).[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.
- [2] (a) (2 2 8 / 0 1 3)
- C1 for 4 or 5 correct elements in a 2×3 matrix
- [1*] (b) (i) 1 0 / 2 0 or any equiv seen
- [2*] (ii) 1 2 2 4 / 0 1 2 0 . or (2 2 / 0 2)
- M1 for M (2 0 / 0 1) = (2 2 / 0 2) oe
- or (a b / c d) (2 0 / 1 0) = (1 0 / 1 3) = their (a) oe
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