Matrices and Determinants

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Across
  1. 3. Diagonal of skew symmetric matrix are _________.
  2. 8. Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is
  3. 9. Matrix A when multiplied with Matrix C gives the Identity matrix I, what is C? a) identity matrix b) inverse of A c) square of A d) transpose of A
  4. 11. If |A| = 0, then A is ________ matrix.
  5. 12. AB+BA is a ________ matrix if A and B are symmetric matrices of same order.
  6. 13. The area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be
  7. 14. Transpose of a column matrix is ________ matrix.
Down
  1. 1. If A is a square matrix, then A – A’ is a _________ matrix.
  2. 2. Which of the following property does not hold for matrix multiplication? a) associative b) distributive c) commutative d) additive inverse
  3. 4. The matrix ____ is a _________ matrix.
  4. 5. If the matrix A is both symmetric and skews symmetric, then A will be.
  5. 6. If A is a skew symmetric matrix of ________ order then |A| = 0.
  6. 7. If AB = I, then A and B are ________ to each other.
  7. 8. If A = ___ and A2 – KA – 5I = 0, then K =
  8. 10. Find x if ____ is singular.
  9. 12. Any square matrix can be represented as the sum of a symmetric and a ________ symmetric matrix.