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Symmetric or skew symmetric?

Exercise and reference answers

Items
  1. Item
    A′ = A
    Category
    Symmetric
  2. Item
    Entry (i,j) equals entry (j,i)
    Category
    Symmetric
  3. Item
    A′ = −A
    Category
    Skew symmetric
  4. Item
    Entry (i,j) is the negative of entry (j,i)
    Category
    Skew symmetric
Categories
  1. Item
    Symmetric
  2. Item
    Skew symmetric

Explanation

One condition is A′ = A, the other A′ = −A, and the chapter notes every square matrix splits into a sum of the two. Source: syllabus Maths Part I, Ch 3 Matrices.
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