150 Section 12: Calculating with Matrices
One-Matrix Operations:
Sign Change, Inverse, Transpose, Norms, Determinant
Keystroke(s)
Result in
X-register
Effect on Matrix
Specified in
X-register
Effect on
Result Matrix
” No change. Changes sign of
all elements.
None.
‡
⁄
(´ ⁄ in
User Mode)
Descriptor of
result matrix.
None.
‡
Inverse of
specified
matrix.
§
´ > 4
Descriptor of
transpose.
Replaced by
transpose.
None.
‡
´ > 7
Row norm of
specified matrix.
*
None. None.
´ > 8
Frobenius or
Euclidean norm
of specified
matrix.
†
None. None.
´ > 9
Determinant of
specified matrix.
None.
‡
LU
decomposition
of specified
matrix.
§
*
The row norm is the largest sum of the absolute values of the elements in each row
of the specified matrix.
†
The Frobenius or Euclidean norm is the square root of the sum of the squares of all
elements in the specified matrix.
‡
Unless the result matrix is the same matrix specified in the X-register.
§
If the specified matrix is a singular matrix (that is, one that doesn’t have an inverse),
then the HP 15c modifies the LU form by an amount that is usually small compared
to round-off error. For ⁄, the calculated inverse is the inverse of a matrix close
to the original, singular matrix. (Refer to the HP 15c Advanced Functions Handbook
for further information.)