Hard Math Class 12 Level 5

What is the value of determinant |1 6 36; 1 9 81; 1 16 256|?

Determinant |1 6 36; 1 9 81; 1 16 256| का मान क्या है?

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Correct Answer

B. 210

Explanation

Step 1: this is a Vandermonde determinant. Step 2: value is (b-a)(c-a)(c-b)=(9-6)(16-6)(16-9)=210. Step 3: tip: for rows 1,x,x^2, multiply pairwise differences.

Step 1: यह Vandermonde determinant है। Step 2: value (b-a)(c-a)(c-b)=(9-6)(16-6)(16-9)=210। Step 3: tip: rows 1,x,x^2 हों तो pair differences multiply करें।

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