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What is the trace of a square matrix? (2022)

Practice Questions

Q1
What is the trace of a square matrix? (2022)
  1. Sum of all elements
  2. Product of diagonal elements
  3. Sum of diagonal elements
  4. Difference of diagonal elements

Questions & Step-by-Step Solutions

What is the trace of a square matrix? (2022)
  • Step 1: Understand what a square matrix is. A square matrix has the same number of rows and columns.
  • Step 2: Identify the main diagonal of the square matrix. The main diagonal runs from the top left corner to the bottom right corner.
  • Step 3: Look at the elements on the main diagonal. These are the numbers that are located at positions (1,1), (2,2), (3,3), etc.
  • Step 4: Add up all the numbers you found on the main diagonal. This total is called the trace of the matrix.
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