Ex 4.5, 18 (MCQ) - Chapter 4 Class 12 Determinants (Term 1)
Last updated at Aug. 9, 2021 by Teachoo
Transcript
Ex 4.5, 18 If A is an invertible matrix of order 2, then det(A−1) is equal to A. det (A) B. 1/(det (A)) C. 1 D. 0 We know that AA-1 = I Taking determinant both sides |"AA−1" |= |I| |A| |A-1| = |I| |A| |A-1| = 1 |A-1| = 1/(|A|) Since |A| ≠ 0 (|AB| = |A| |B|) ( |I| = 1) Hence, |A-1| = 1/(|A|) is valid Thus, the correct answer is B
Ex 4.5
Ex 4.5, 1
Ex 4.5, 2
Ex 4.5, 3 Important
Ex 4.5, 4 Important
Ex 4.5, 5
Ex 4.5, 6 Important
Ex 4.5, 7
Ex 4.5, 8
Ex 4.5, 9
Ex 4.5, 10 Important
Ex 4.5, 11 Important
Ex 4.5, 12
Ex 4.5, 13
Ex 4.5, 14 Important
Ex 4.5, 15 Important
Ex 4.5, 16
Ex 4.5, 17 (MCQ) Important
Ex 4.5, 18 (MCQ) Important You are here
Chapter 4 Class 12 Determinants (Term 1)
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.