18. If A is an invertible matrix of order 2, then det (A–1) is equal to Chapter 4: Determinants Maths Class 12 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. 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 is solved by our expert teachers. You can get ncert solutions and notes for class 12 chapter 4 absolutely free. NCERT Solutions for class 12 Maths Chapter 4: Determinants is very essencial for getting good marks in CBSE Board examinations
Question 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
Answer:We have the formula
AA-1 = I
Take determinant both side we get
|A ||A-1| = 1
Divide by |A| both side we get
|A-1| = 1/|A |
Hence option B is correct
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