passpadi

2008

Mathematics

JAMB

( −2 2 1 3 ) ( p r q s ) = ( 1 0 0 1 ) . What is the value of r?

A.

-1/8

B.

3/8

C.

5/8

D.

1/4

Correct Answer: 1/4

Explanation

-2p + r = 1.......(i) 2p + 3r = 0.......(ii) r - 1 + 2p ........(iii) 2p + 3(1 + 2p) = 0 2p + 3(1 + 2p) = 0 2p + 3 + 6p = 0 3 - 8p = 0 → 8p = 3 p = 3/8 6 = 1 - 2 (3/8) = 1 - 6/8 8−6/8 = 2/8 = 1/4

-2p + r = 1.......(i) 2p + 3r = 0.......(ii) r - 1 + 2p ........(iii) 2p + 3(1 + 2p) = 0 2p + 3(1 + 2p) = 0 2p + 3 + 6p = 0 3 - 8p = 0 → 8p = 3 p = 3/8 6 = 1 - 2 (3/8) = 1 - 6/8 8−6/8 = 2/8 = 1/4
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