Matrices — Question 127
Original QCE Vault practice · 5 marks
Q127 · Practice questionTechnology-freeComplex familiar5 marks
QUESTION 127 (5 marks)
Let A=(2111). a)Find A(3−1). [1 mark] c)Find the vector v such that Av=(74). [2 marks] WORKED SOLUTION
Practice marking scheme
5 marksANSWERv=A−1(74)=(31). Worked solution
Part (a): A(3−1)=(52). Part (b): detA=1, so A−1=(1−1−12). Part (c): v=A−1(74)=(31). Part (a): completes the requested reasoning and obtains a correct result.
[1 mark]Part (b): completes the requested reasoning and obtains a correct result.
[2 marks]Part (c): completes the requested reasoning and obtains a correct result.
[2 marks]Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
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