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Ex 4.4
Ex 4.4, 2
Ex 4.4, 3 Important
Ex 4.4, 4 Important
Ex 4.4, 5
Ex 4.4, 6 Important
Ex 4.4, 7
Ex 4.4, 8
Ex 4.4, 9
Ex 4.4, 10 Important
Ex 4.4, 11 Important
Ex 4.4, 12
Ex 4.4, 13
Ex 4.4, 14 Important
Ex 4.4, 15 Important
Ex 4.4, 16
Ex 4.4, 17 (MCQ) Important
Ex 4.4, 18 (MCQ) Important You are here
Last updated at June 11, 2023 by Teachoo
Ex 4.4, 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 Hence, |A-1| = 1/(|A|) is valid Thus, the correct answer is B