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What is the trace of a matrix?

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Question: What is the trace of a matrix?

Options:

  1. Sum of all elements
  2. Sum of diagonal elements
  3. Product of diagonal elements
  4. None of the above

Correct Answer: Sum of diagonal elements

Solution: 

The trace of a matrix is defined as the sum of the elements on the main diagonal.

What is the trace of a matrix?

Practice Questions

Q1
What is the trace of a matrix?
  1. Sum of all elements
  2. Sum of diagonal elements
  3. Product of diagonal elements
  4. None of the above

Questions & Step-by-Step Solutions

What is the trace of a matrix?
  • Step 1: Understand what a matrix is. A matrix is a rectangular array of numbers arranged in rows and columns.
  • Step 2: Identify the main diagonal of the 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 where the row number and column number are the same.
  • 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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