2008
Mathematics
67ca00ce0c643c71d77dee1f
( −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 = 1/4THIS WEEK's
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