Class 12 Maths NCERT Solutions Chapter 4: Determinants is developed and witten by our expert teachers. Students can study our solutions of Chapter 4: Determinants class 12 Maths, Find adjoint of each of the matrices in Exercises 1 and 2., , Verify A (adj A) = (adj A) A = |A| I in Exercises 3 and 4, , Find the inverse of each of the matrices (if it exists) given in Exercises 5 to 11., , , , , , , Verify that (AB)–1 = B–1 A–1, show that A2 – 5A + 7I = O. Hence find A–1, 14. For the matrix find the numbers a and b such that A2 + aA + bI = O, 15. For the matrix Show that A3– 6A2 + 5A + 11 I = O. Hence, find A–1, , 17. Let A be a nonsingular square matrix of order 3 × 3. Then |adj A| is equal to (A) |A| (B) |A|2 (C) |A|3 (D) 3|A|, 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.
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