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What is the trace of a 2x2 matrix [[a, b], [c, d]]? (2019)

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Question: What is the trace of a 2x2 matrix [[a, b], [c, d]]? (2019)

Options:

  1. a + b
  2. b + c
  3. a + d
  4. c + d

Correct Answer: a + d

Exam Year: 2019

Solution: 

The trace of a matrix is the sum of its diagonal elements. For the matrix [[a, b], [c, d]], the trace is a + d.

What is the trace of a 2x2 matrix [[a, b], [c, d]]? (2019)

Practice Questions

Q1
What is the trace of a 2x2 matrix [[a, b], [c, d]]? (2019)
  1. a + b
  2. b + c
  3. a + d
  4. c + d

Questions & Step-by-Step Solutions

What is the trace of a 2x2 matrix [[a, b], [c, d]]? (2019)
  • Step 1: Identify the matrix. The given matrix is [[a, b], [c, d]].
  • Step 2: Locate the diagonal elements of the matrix. The diagonal elements are 'a' (top left) and 'd' (bottom right).
  • Step 3: Add the diagonal elements together. Calculate a + d.
  • Step 4: The result from Step 3 is the trace of the matrix.
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