Properties of Matrices (Edexcel A Level Further Maths: Core Pure)

Exam Questions

12 mins3 questions

2 marks

$M = (\begin{matrix} 2 & a & 4 \\ 1 & - 1 & - 1 \\ - 1 & 2 & - 1 \end{matrix})$

where $a$ is a constant.

(a)

For which values of

a

does the matrix

M

have an inverse?

How did you do?

4 marks

Given that M is non-singular,

(b)

find

M^{- 1}

in terms of

a

How did you do?

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