WAEC - Further Mathematics (2020 - No. 5)

If  \(\begin{pmatrix} p+q & 1\\ 0 & p-q \end {pmatrix}\) = \(\begin{pmatrix} 2 & 1 \\ 0 & 8 \end{pmatrix}\)

Find the values of p and q

 

 
p = 5, q = 3
p = 5, q = -3
p = -5, q = -3
p = -5, q = 3

Explanation

p + q = 2

p - q = 8

\(\overline{\frac{2p}{2} = \frac{10}{2}}\)

p = 5

from p + q = 2

5 + q = 2

q = 2 - 5 

= -3

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