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The trace of a square matrix X is defined as the sum of its diagonal entries and is denoted by tr (X) . If A and B are two 3 3 real matrices, then

Options

  1. Atr (A+B)= tr (A)+ tr (B)
  2. Btr (A B)= tr (B A)
  3. Ctr (k A)=k tr (A) where k is a real number.
  4. Dtr (A^t )= tr (A) , where A^t denotes the transpose of matrix A .

Correct answer

D. tr (A^t )= tr (A) , where A^t denotes the transpose of matrix A .

Step-by-step solution

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