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If A = [[1, 2], [3, 4]], what is the trace of A?
If A = [[1, 2], [3, 4]], what is the trace of A?
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Q1
If A = [[1, 2], [3, 4]], what is the trace of A?
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The trace of A is the sum of the diagonal elements: 1 + 4 = 5.
Questions & Step-by-step Solutions
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Q: If A = [[1, 2], [3, 4]], what is the trace of A?
Solution:
The trace of A is the sum of the diagonal elements: 1 + 4 = 5.
Steps: 5
Show Steps
Step 1: Identify the matrix A, which is given as [[1, 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.
Step 3: The diagonal elements in this case are 1 (from the first row and first column) and 4 (from the second row and second column).
Step 4: Add the diagonal elements together: 1 + 4.
Step 5: Calculate the sum, which equals 5.
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