3-80 Full Command and Function Reference
i
Type: Function
Description: i Function: Returns the symbolic constant i or its numerical representation, (0, 1).
Access: !¥
(¥is the left-shift of the Ikey).
Flags: Symbolic Constants (–2), Numerical Results (–3)
Input/Output:
Level 1/Argument 1 Level 1/Item 1
→
'i'
→
(0,1)
See also: e, MAXR, MINR, π
IABCUV
CAS: Return a solution in integers u and v of au + bv = c, where a, b, and c are integers.
IBASIS
CAS: Determine the basis of the intersection between two vector spaces.
IBERNOULLI
CAS: Return the nth Bernoulli number for a given integer n.
IBP
CAS: Integration by parts of a product of two functions, given the antiderivative of one function.
ICHINREM
CAS: Solve a system of two congruences in integers using the Chinese Remainder theorem.
IDN
Type: Command
Description: Identity Matrix Command: Returns an identity matrix; that is, a square matrix with its diagonal
elements equal to 1 and its off-diagonal elements equal to 0.
The result is either a new square matrix, or an existing square matrix with its elements replaced
by the elements of the identity matrix, according to the argument.
• Creating a new matrix: If the argument is a real number n, a new real identity matrix is
returned, with its number of rows and number of columns equal to n.
• Replacing the elements of an existing matrix: If the argument is a square matrix, an identity
matrix of the same dimensions is returned. If the original matrix is complex, the resulting
identity matrix will also be complex, with diagonal values (1,0).
• If the argument is a name, the name must identify a variable containing a square matrix. In
this case, the elements of the matrix are replaced by those of the identity matrix (complex if
the original matrix is complex).
Access: !Ø
CREATE IDN ( Ø is the left-shift of the 5key).
!´
MATRIX MAKE IDN ( ´ is the left-shift of the Pkey).
Input/Output:
Level 1/Argument 1 Level 1/Item 1
n
→
[[ R-matrix
identity
]]
[[ matrix ]]
→
[[ matrix
identity
]]
'name'
→
[[ matrix
identity
]]
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