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If |A| = 4 , |B| = 3 Then find |AB ?|

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SME in Mathematics & Statistics

Considering both the matrices A and B are of same order, IABI = IAI x IBI = 4 x 3 = 12
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GMAT Math Expert

|AB| = 12.. Mod value is always positive.
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Application oriented with 10 yrs exp

If both are of same order, then det(A).Det(B)=Det(AB) So, 4x3=12
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Tutor

|AB|=|A||B|
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Tutor

12
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Tutor

|A|=4 |B|=3 So |AB|=|A| |B|= 4 x 3 = 12
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GMAT Math Expert

Mod of any value is always positive. Possible values for A= 4 or -4 and for B = 3 or -3.. So Mod of +12 or -12, answer is always 12.
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Mathematics Teacher

12
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Tutor for JEE-Main, JEE Advanced, NEET, IB etc

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In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? A. 30% B. 70% C. 100% D. 250%
Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420. New C.P. = 125% of Rs. 100 = Rs. 125 New S.P. = Rs. 420. Profit = Rs. (420 - 125) = Rs. 295. Required percentage = 295 x 100 % = 1475 % = 70% (approximately). 420 21 ans=70%
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