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JEE Advanced · Mathematics · 18. Matrices

The number of 3×3 matrices M with entries from {0,1,2}, such that the sum of the diagonal elements of MTM is 5, are

  1. A 198
  2. B 126
  3. C 135
  4. D 162
Verified Solution

Answer & Solution

Correct Answer

(A) 198

Step-by-step Solution

Detailed explanation

Let,  M=abcdefghi  Sum of the diagonal elements, Tr(MTM)=a2+b2+c2+d2+e2+f2+g2+h2+i2=5, where entries are 0,1,2
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