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

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

Options:

Correct Answer: Sum of diagonal elements

Exam Year: 2022

Solution:

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

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

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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