If A, B are non-singular square matrices of the same order, then (AB -1 ) -1 =

(a)A -1

(b) A -1 B -1

(c) BA -1    

(d) ๐ด๐ต

 

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Question 10 If A, B are non-singular square matrices of the same order, then (ใ€–๐ด๐ตใ€—^(โˆ’1) )^(โˆ’1)= (a)๐ด^(โˆ’1) ๐ต (b) ๐ด^(โˆ’1) ๐ต^(โˆ’1) (c) ใ€–๐ต๐ดใ€—^(โˆ’1) (d) ๐ด๐ตNow (ใ€–๐ด๐ตใ€—^(โˆ’1) )^(โˆ’1) Since (XY)โˆ’1 = Yโˆ’1 Xโˆ’1 =(๐‘ฉ^(โˆ’๐Ÿ) )^(โˆ’๐Ÿ) ๐ด^(โˆ’1) =๐‘ฉ ๐‘จ^(โˆ’๐Ÿ) So, the correct answer is (c)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.