O-LevelMathematicsVectors and transformations4024/21 · May/June 2016 · Q69 Marks
A = ((4 -1), (1 3)) B = ((2 0), (7 -5))
- (a)Evaluate 2A - B.[2]
- (b)Find A².[2]
- (c)Find B⁻¹.[2]
- (d)A + Z = A. Find Z.[1]
- (e)M + 2I = B, where I is the 2 × 2 identity matrix. Find M.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [2] (a) ((6 -2), (-5 11))
- [2] (a) B1 for at least 2 elements correct in a 2x2 matrix
- [2] (b) ((15 -7), (7 8))
- [2] (b) B1 for at least 2 elements correct or M1 for ((4 -1),(1 3)) * ((4 -1),(1 3)) soi
- [2] (c) 1/10 ((-5 0), (-7 2)) oe isw
- [2] (c) B1 for det B = -10 soi or ((-5 0), (-7 2))
- [1] (d) ((0 0), (0 0))
- [2] (e) ((0 0), (7 -7))
- [2] (e) B1 for ((1 0),(0 1)) soi
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