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