Question: What is the trace of the matrix I = [[5, 2], [3, 4]]? (2022)
Options:
5
7
9
11
Correct Answer: 9
Exam Year: 2022
Solution:
The trace of a matrix is the sum of its diagonal elements. Thus, trace(I) = 5 + 4 = 9.
What is the trace of the matrix I = [[5, 2], [3, 4]]? (2022)
Practice Questions
Q1
What is the trace of the matrix I = [[5, 2], [3, 4]]? (2022)
5
7
9
11
Questions & Step-by-Step Solutions
What is the trace of the matrix I = [[5, 2], [3, 4]]? (2022)
Step 1: Identify the matrix I, which is given as [[5, 2], [3, 4]].
Step 2: Locate the diagonal elements of the matrix. The diagonal elements are the ones from the top left to the bottom right. In this case, they are 5 (from the first row) and 4 (from the second row).
Step 3: Add the diagonal elements together. So, you calculate 5 + 4.
Step 4: Write down the result of the addition. The sum is 9.
Step 5: Conclude that the trace of the matrix I is 9.
No concepts available.
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