If \(\begin{pmatrix} p+q & 1\\ 0 & p-q \end {pmatrix}\) = \(\begin{pmatrix} 2 & 1
FURTHER MATHEMATICS
WAEC 2020
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
- A. p = 5, q = 3
- B. p = 5, q = -3
- C. p = -5, q = -3
- D. p = -5, q = 3
Correct Answer: B. p = 5, q = -3
Explanation
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
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 + 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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