CBSE Class 12 Sample Paper for 2023 Boards

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Question 10 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 13, 2024 by

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

(a)A -1 B 

(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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