Question 10 If A, B are non-singular square matrices of the same order, then (ใ๐ด๐ตใ^(โ1) )^(โ1)= (a)๐ด^(โ1) ๐ต (b) ๐ด^(โ1) ๐ต^(โ1) (c) ใ๐ต๐ดใ^(โ1) (d) ๐ด๐ตNow
(ใ๐ด๐ตใ^(โ1) )^(โ1)
Since (XY)โ1 = Yโ1 Xโ1
=(๐ฉ^(โ๐) )^(โ๐) ๐ด^(โ1)
=๐ฉ ๐จ^(โ๐)
So, the correct answer is (c)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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