matrix puzzle

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