What is the trace of the matrix H = [[2, 1], [1, 3]]?

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Question: What is the trace of the matrix H = [[2, 1], [1, 3]]?

Options:

Correct Answer: 4

Solution:

The trace of a matrix is the sum of its diagonal elements. Here, trace(H) = 2 + 3 = 5.

What is the trace of the matrix H = [[2, 1], [1, 3]]?

What is the trace of the matrix H = [[2, 1], [1, 3]]?

Step 1: Identify the matrix H, which is given as [[2, 1], [1, 3]].
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 matrix are 2 (from the first row and first column) and 3 (from the second row and second column).
Step 4: Add the diagonal elements together: 2 + 3.
Step 5: Calculate the sum, which equals 5.

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