# Manuals/calci/BIDIAGONAL

MATRIX("BIDIAGONAL",order)

• is the size of the Bidiagonal matrix.

## Description

• This function returns the matrix with the property of bidiagonal.
• A bidiagonal matrix has non zero entries only on the main bidiagonal and either the first super-diagonal and first sub-diagonal.
• In Calci,users will get different types of bidiagonal matrices.
• There are two types are there lower bidiagonal and upper bidiagonal.
• When the diagonal below the main diagonal has the non-zero entries the matrix is lower bidiagonal.
• When the diagonal above the main diagonal has the non-zero entries the matrix is upper bidiagonal.
• The example of lower bidiagonal matrix is: • The example of a upper bidiagonal matrix is: • The syntax of lower and upper bidiagonal matrices are MATRIX("lowerbidiagonal") or MATRIX("lower-bidiagonal") and MATRIX("upperbidiagonal") or MATRIX("upper-bidiagonal")

## Examples

• 1.MATRIX("bidiagonal") = 70
• 2.MATRIX("bidiagonal",3)
 -63 97 0 0 44 65 0 0 97
• 3.MATRIX("bidiagonal",5)
 77 -7 0 0 0 0 83 56 0 0 0 0 2 -88 0 0 0 0 -88 -59 0 0 0 0 87
• 4.MATRIX("upper-bidiagonal",3)
 -5 40 0 0 5 71 0 0 19
• 5.MATRIX("lowerbidiagonal",4)
 87 0 0 0 8 -13 0 0 0 -70 82 0 0 0 94 -33

## Related Videos

Banded Matrix, Tri-diagonal Matrix