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MATHEMATICS

JAMB 2015 - Question 17

Mathematics 2015 JAMB Past Questions - Question 17: If P=(2 3) and Q=(4 2) 4 5 3 3Find 2P-Q.

If P=(2 3) and Q=(4 2) 4 5 3 3Find 2P-Q.

A: (6 1,2 1)

B: (0 4,3 3)

C: (2 1,-1 -2)

D: (0 4,5 7)

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Correct Answer

Explanation

p=(2 3),Q=(4 2) 2P=(4 6) 4 5 3 3 8 102P-Q=(4 6)-(4 2)=(0 4) 8 10 3 3 5 7To find 2P - Q, where P = (2, 3) and Q = (4, 2), we first need to understand that 2P means multiplying each component of P by 2 and then subtracting the components of Q.So, 2P = 2 * (2, 3) = (4, 6)Now, we can subtract the components of Q from 2P:2P - Q = (4, 6) - (4, 2) = (4-4, 6-2) = (0, 4)Therefore, 2P - Q = (0, 4).