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Class 12th Mathematics 2017 Set1 Delhi Board Paper Solution

Question 1

If A is a 3 × 3 invertible matrix, then what will be the value of k if det(A–1) = (det A)k .

Answer

Here, det(A–1) = (det A)k 

⇒ |A–1| = 1 / | A |

⇒ k =  –1
 

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