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 Teachoo

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) 𝐴𝐵

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Transcript

Question 10 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) 𝐴𝐵Now (〖𝐴𝐵〗^(−1) )^(−1) Since (XY)−1 = Y−1 X−1 =(𝑩^(−𝟏) )^(−𝟏) 𝐴^(−1) =𝑩 𝑨^(−𝟏) So, the correct answer is (c)

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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 and Computer Science at Teachoo

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