CBSE Class 12 Sample Paper for 2023 Boards

Practice Questions CBSE - Maths Class 12 (2023 Boards) →
Maths Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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 August 12, 2026 by

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

(a)A -1 Bย 

(b) A -1 B -1

(c) BA -1 ย  ย 

(d) ๐ด๐ต

ย 

If A, B are non-singular square matrices of same order, then (AB^-1)-1 - CBSE Class 12 Sample Paper for 2023 Boards

Remove Ads
Teachoo ยท Class 12 Explore Class 12

Transcript

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)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.