Q.
Which of the following matrix is non singular
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a
1−12321523
b
12−1312−21−3
c
2−31123−31−4
d
214321563
answer is D.
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Detailed Solution
1−12321523=(6−2)+1(9−5)+2(6−10)=4+4−8=0 sinqular 12−1312−21−3=1(−3−2)−2(−9+4)−1(3+2)=−5+10−5=0 singular 2−31123−31−4=2(−8−3)+3(−4+9)+1(1+6)=−22+15+7=0 singular 214321563=2(6−6)−(9−5)+4(18−10)=0−4+32=28≠0 non singular
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