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If A = [[1, 2], [3, 4]], what is the trace of A?

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Question: If A = [[1, 2], [3, 4]], what is the trace of A?

Options:

  1. 5
  2. 7
  3. 3
  4. 1

Correct Answer: 5

Solution: 

The trace of A is the sum of the diagonal elements: 1 + 4 = 5.

If A = [[1, 2], [3, 4]], what is the trace of A?

Practice Questions

Q1
If A = [[1, 2], [3, 4]], what is the trace of A?
  1. 5
  2. 7
  3. 3
  4. 1

Questions & Step-by-Step Solutions

If A = [[1, 2], [3, 4]], what is the trace of A?
Correct Answer: 5
  • 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.
  • Trace of a Matrix – The trace of a square matrix is the sum of its diagonal elements.
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