What is the trace of a 2x2 matrix A = [[3, 2], [1, 4]]? (2022)

Practice Questions

Q1
What is the trace of a 2x2 matrix A = [[3, 2], [1, 4]]? (2022)
  1. 5
  2. 6
  3. 7
  4. 8

Questions & Step-by-Step Solutions

What is the trace of a 2x2 matrix A = [[3, 2], [1, 4]]? (2022)
  • Step 1: Identify the matrix A, which is given as [[3, 2], [1, 4]].
  • Step 2: Locate the diagonal elements of the matrix. For matrix A, the diagonal elements are 3 (from the first row and first column) and 4 (from the second row and second column).
  • Step 3: Add the diagonal elements together. Calculate 3 + 4.
  • Step 4: Write down the result of the addition. The sum is 7.
  • Step 5: Conclude that the trace of matrix A is 7.
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