Question: What is the trace of a 2x2 matrix A = [[3, 2], [1, 4]]? (2022)
Options:
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8
Correct Answer: 6
Exam Year: 2022
Solution:
The trace of a matrix is the sum of its diagonal elements. For matrix A, the trace is 3 + 4 = 7.
What is the trace of a 2x2 matrix A = [[3, 2], [1, 4]]? (2022)
Practice Questions
Q1
What is the trace of a 2x2 matrix A = [[3, 2], [1, 4]]? (2022)
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Questions & Step-by-Step Solutions
What is the trace of a 2x2 matrix A = [[3, 2], [1, 4]]? (2022)
Step 1: Identify the matrix A, which is given as [[3, 2], [1, 4]].
Step 2: Locate the diagonal elements of the matrix. For matrix A, the diagonal elements are 3 (from the first row and first column) and 4 (from the second row and second column).
Step 3: Add the diagonal elements together. Calculate 3 + 4.
Step 4: Write down the result of the addition. The sum is 7.
Step 5: Conclude that the trace of matrix A is 7.
No concepts available.
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