MATRIX("BIDIAGONAL",order)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A=\begin{pmatrix} 62 & 0 & 0 & 0 \\ -60 & 69 & 0 & 0 \\ 0 & -52 & 65 & 0 \\ 0 & 0 & -18 & 1 \\ \end{pmatrix} }
- The example of a upper bidiagonal matrix is:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A=\begin{pmatrix} 56 & 18 & 0 & 0 \\ 0 & -33 & -55 & 0 \\ 0 & 0 & -2 & -60 \\ 0 & 0 & 0 & -9 \\ \end{pmatrix} }
- 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)
| 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.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
See Also
References