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Class 12

Symmetric Matrices, Inverses and Mixed Practice — Quiz

Five questions on symmetric and skew-symmetric matrices and inverses. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. For A=[2514]A = \begin{bmatrix} 2 & 5 \\ 1 & 4 \end{bmatrix}, the symmetric part 12(A+AT)\displaystyle \tfrac{1}{2}(A + A^T) is
  2. Every entry on the main diagonal of a skew-symmetric matrix is
  3. Using row operations, the inverse of [3243]\begin{bmatrix} 3 & 2 \\ 4 & 3 \end{bmatrix} is
  4. Which matrix has no inverse?
  5. If AA and BB are symmetric matrices of the same order, then ABAB is symmetric exactly when
Unanswered questions are marked wrong.

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