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If F = [[1, 2], [3, 5]], what is the trace of F? (2020)

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Question: If F = [[1, 2], [3, 5]], what is the trace of F? (2020)

Options:

  1. 3
  2. 5
  3. 6
  4. 8

Correct Answer: 8

Exam Year: 2020

Solution: 

The trace of F is the sum of the diagonal elements: 1 + 5 = 6.

If F = [[1, 2], [3, 5]], what is the trace of F? (2020)

Practice Questions

Q1
If F = [[1, 2], [3, 5]], what is the trace of F? (2020)
  1. 3
  2. 5
  3. 6
  4. 8

Questions & Step-by-Step Solutions

If F = [[1, 2], [3, 5]], what is the trace of F? (2020)
  • Step 1: Identify the matrix F, which is given as F = [[1, 2], [3, 5]].
  • 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 case are 1 (from the first row and first column) and 5 (from the second row and second column).
  • Step 4: Add the diagonal elements together: 1 + 5.
  • Step 5: Calculate the sum, which equals 6.
  • Trace of a Matrix – The trace of a matrix is the sum of its diagonal elements.
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