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Order the steps: test whether A is symmetric

Exercise and reference answers

Steps
  1. Confirm A is a square matrix
  2. Write down the transpose A′ by swapping rows and columns
  3. Compare A′ entry by entry with A
  4. If they agree everywhere, A is symmetric
  5. If instead A′ equals −A, it is skew symmetric

Explanation

Symmetry is checked, not assumed. Source: syllabus Maths Part I, Ch 3 Matrices.
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