# Iabcuv; Ibasis; Ibernoulli; Ibp - HP 48gII Advanced User's Reference Manual

Graphing calculator.

i
Type:
Function
Description: i Function: Returns the symbolic constant i or its numerical representation, (0, 1).
Access:
Flags:
Symbolic Constants (–2), Numerical Results (–3)
Input/Output:
e, MAXR, MINR,

## 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:
Input/Output:
3-80 Full Command and Function Reference
Level 1/Argument 1
CREATE IDN
MATRIX MAKE IDN
Level 1/Argument 1
n
[[ matrix ]]
'name'
(¥is the left-shift of the Ikey).
( Ø is the left-shift of the 5key).
( ´ is the left-shift of the Pkey).
Level 1/Item 1
'i'
(0,1)
Level 1/Item 1
[[ R-matrix
]]
identity
[[ matrix
]]
identity
[[ matrix
]]
identity