If {{pmatrix} p+q & 1 \\ 0 & p-q {pmatrix}} = {{pmatrix} 2 & 1 \\ 0 & 8 {pmatrix}} Find the values of p and q

Correct Answer is : p = 5, q = -3

Correct Answer is : p = 5, q = -3

Test Index

WAEC Further Mathematics 2020 Paper

Question : 5

Total: 39

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

p

q

Solution:

Concept:

Two matrices are equal when their corresponding entries are equal.

Explanation:

Compare the entries in the same positions.

From the top-left entry:

p + q = 2

From the bottom-right entry:

p - q = 8

Add the two equations:

(p+q) + (p-q) = 2 + 8

This gives

2p = 10

So,

p = 5

Substitute

p = 5

into

p + q = 2

5 + q = 2

q = 2 - 5 = -3

Thus,

p = 5

and

q = -3

Answer:

p = 5

q = -3

This matches option B.

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