17. Let A be a nonsingular square matrix of order 3 × 3. Then |adj A| 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. 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| 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 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|
Answer:We have the formula
Use property of determinant A.adj A = AI
Take mode both sides we get
|A.adj A| = |AI|
As A is matrix of 3x3 hence
|AI| = A3I
Hence
|A| |adj A| = |A|3
divide by |A| both side we get
|adj A| = |A2|
Hence option B is correct
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