Inverses/Symmetry of Matrices

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Across
  1. 1. switching the entries of row and column of matrix A
  2. 4. a type of matrix A (given) where the product of the 2 matrices result in an identity matrix
  3. 5. a property of transpose, where(A^T)^T = A
  4. 7. a type of matrix located in the left side of the augmented matrix, where [I | A^-1]
  5. 9. A^TA, where A = A^T
Down
  1. 2. A^TA, where A^T = -A
  2. 3. a type of matrix where it has orthonormal columns
  3. 6. a property of transpose, where (AB)^T = B^TA^T
  4. 8. what should not equal to 0 if matrix A has its own inverse?
  5. 9. a property of transpose, where (A+B)^T = A^T + B^T