O-LevelAdditional MathematicsSimultaneous equations4037/12 · May/June 2017 · Q910 Marks
(a) Given that A = [-3 1; -1 2; 4 5], B = [-2 0; 1 3] and C = AB, (b) The matrix X = [5 -12; 4 -7]
- (a)(i)state the order of A,[1]
- (a)(ii)find C.[3]
- (b)(i)Find X⁻¹.[2]
- (b)(ii)Using X⁻¹, find the coordinates of the point of intersection of the lines 12y = 5x - 26, 7y = 4x - 52.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [B1] 3x2
- [M1] correct attempt to multiply the 2 matrices
- [A2] -1 for each incorrect element
- [B2] B1 for correct use of determinant, B1 for correct matrix
- [B1] (Equation system in matrix form)
- [M1] attempt to evaluate using inverse from (i) together with pre-multiplication to obtain a 2x1 matrix
- [A2] A1 for each
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