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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