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What is the trace of the matrix H = [[2, 1], [1, 3]]?

Practice Questions

Q1
What is the trace of the matrix H = [[2, 1], [1, 3]]?
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

What is the trace of the matrix H = [[2, 1], [1, 3]]?
  • Step 1: Identify the matrix H, which is given as [[2, 1], [1, 3]].
  • Step 2: Locate the diagonal elements of the matrix. The diagonal elements are the ones from the top left to the bottom right.
  • Step 3: The diagonal elements in this matrix are 2 (from the first row and first column) and 3 (from the second row and second column).
  • Step 4: Add the diagonal elements together: 2 + 3.
  • Step 5: Calculate the sum, which equals 5.
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