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Vectors and matrices — Question 16

QCAA 2021, Paper 2 · 6 marks

Q16 · 2021 · Technology-activeComplex familiar6 marks

QUESTION 16 (6 marks)

Let A=[122211221].A=\begin{bmatrix}1&2&2\\2&1&1\\2&2&1\end{bmatrix}. Given A4=pA3+qA2+rA+3IA^4=pA^3+qA^2+rA+3I, use matrix algebra to determine the value of the scalars pp, qq and rr.
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