Question: What is the trace of the matrix I = [[3, 2], [1, 4]]? (2023)
Options:
5
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7
8
Correct Answer: 6
Exam Year: 2023
Solution:
The trace of a matrix is the sum of its diagonal elements. Here, trace(I) = 3 + 4 = 7.
What is the trace of the matrix I = [[3, 2], [1, 4]]? (2023)
Practice Questions
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What is the trace of the matrix I = [[3, 2], [1, 4]]? (2023)
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Questions & Step-by-Step Solutions
What is the trace of the matrix I = [[3, 2], [1, 4]]? (2023)
Step 1: Identify the matrix I, which is given as [[3, 2], [1, 4]].
Step 2: Find 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 3 (from the first row) and 4 (from the second row).
Step 3: Add the diagonal elements together. So, you calculate 3 + 4.
Step 4: Write down the result of the addition. The result is 7.
Step 5: Conclude that the trace of the matrix I is 7.
No concepts available.
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