matrix puzzle

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Across
  1. 1. in which all its diagonal elements are equal to be scalar , say k.
  2. 3. if all the elements except principal diagonal are zero.
  3. 5. if each of its diagonal elements is unity.
  4. 8. if A = transpose of conjugate of A
  5. 13. if AA* = I
  6. 14. in which number of rows and columns are not equal.
Down
  1. 2. vertical lines
  2. 4. if A = A’.
  3. 6. if every element above and below the leading diagonal of square matrix is zero.
  4. 7. if AA’ = I.
  5. 9. if square of A = I.
  6. 10. in which number of rows and columns are equal.
  7. 11. interchange the rows and columns of given matrix A.
  8. 12. it is a collection of numbers arranged in the form of rectangular array.
  9. 15. if each of its elements is zero.