If q={-2}{3} and r={3}{-2}. find q-r.

Correct Answer is : (−55){-5}{5}(5−5)

Correct Answer is : (−55){-5}{5}(5−5)

Test Index

BECE Mathematics 2023 Paper

Question : 40

Total: 40

q=\binom{-2}{3}

r=\binom{3}{-2}

q-r

Solution:

Concept:

Subtract two column vectors by subtracting their corresponding components.

Explanation:

Given

q=\binom{-2}{3}

and

r=\binom{3}{-2}

So,

q-r=\binom{-2}{3}-\binom{3}{-2}

Subtract the top components:

-2-3=-5

Subtract the bottom components:

3-(-2)=3+2=5

Hence,

q-r=\binom{-5}{5}

This matches Option A.

Answer:

q-r=\binom{-5}{5}

, so the correct option is A.

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