Manuals/calci/TRIANGULAR - Revision history

Devika: /* Examples */

2015-10-26T07:44:00Z

Examples

Swapna at 14:06, 26 July 2015

2015-07-26T14:06:25Z

Devika: /* References */

2015-05-15T17:02:06Z

References

Devika: /* Examples */

2015-05-05T17:45:26Z

Examples

Devika at 17:44, 5 May 2015

2015-05-05T17:44:26Z

Devika at 17:26, 5 May 2015

2015-05-05T17:26:43Z

Devika at 17:16, 5 May 2015

2015-05-05T17:16:21Z

Abin: Created page with "
'''TRIANGULAR'''

"

2015-04-30T05:34:33Z

Created page with "<div style="font-size:30px">'''TRIANGULAR'''</div><br/>"

New page

<div style="font-size:30px">'''TRIANGULAR'''</div><br/>

@@ Line 24: / Line 24: @@
 ==Examples==
-*1.MATRIX("triangular")
+*1.MATRIX("triangular",3)
 {| class="wikitable"
 |-

@@ Line 68: / Line 68: @@
 |25 || -18 || 12 || 40
 |}
 ==See Also==

← Older revision		Revision as of 17:02, 15 May 2015
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	==References==		==References==
		+	*[http://en.wikipedia.org/wiki/Triangular_matrix Triangular Matrix]
		+	*[http://mathworld.wolfram.com/UpperTriangularMatrix.html Upper Triangular Matrix]
		+	*[http://mathworld.wolfram.com/LowerTriangularMatrix.html Lower Triangular Matrix]

@@ Line 57: / Line 57: @@
 | 0 || 0 || 84
 |}
-*4.MATRIX("lower-triangular")
+*4.MATRIX("lower-triangular",4)
 {| class="wikitable"
 |-

@@ Line 48: / Line 48: @@
 | 36 || 62 || 28 || -96 || 18 || 55
 |}
+*3.MATRIX("uppertriangular")
 ==See Also==
 *[[Manuals/calci/PERSYMMETRIC| PERSYMMETRIC]]
 *[[Manuals/calci/PASCAL| PASCAL]]
-*[[Manuals/calci/UPPERTRIANGULAR| UPPERTRIANGULAR]]
+*[[Manuals/calci/HANKEL| HANKEL]]
 ==References==

← Older revision		Revision as of 17:26, 5 May 2015
Line 21:		Line 21:
	*Also MATRIX("lowertriangular") or MATRIX("lower-triangular") is showing the lower triangular matrix of order 3.		*Also MATRIX("lowertriangular") or MATRIX("lower-triangular") is showing the lower triangular matrix of order 3.
	*So in Calci, users can get the different types of triangular matrices with the different orders.		*So in Calci, users can get the different types of triangular matrices with the different orders.
		+
		+
		+	==Examples==
		+	*1.MATRIX("triangular")
		+	{\| class="wikitable"
		+	\|-
		+	\| 15 \|\| -96 \|\| -53
		+	\|-
		+	\| 0 \|\| 94 \|\| 0
		+	\|-
		+	\| 0 \|\| 0 \|\| 77
		+	\|}
		+	*2.MATRIX("triangular",6)
		+	{\| class="wikitable"
		+	\|-
		+	\| 49 \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 0
		+	\|-
		+	\| 55 \|\| 93 \|\| 0 \|\| 0 \|\| 0 \|\| 0
		+	\|-
		+	\| -30 \|\| -42 \|\| 48 \|\| 0 \|\| 0 \|\| 0
		+	\|-
		+	\| -82 \|\| 48 \|\| -9 \|\| 62 \|\| 0 \|\| 0
		+	\|-
		+	\| -6 \|\| -37 \|\| -68 \|\| -6 \|\| -7 \|\| 0
		+	\|-
		+	\| 36 \|\| 62 \|\| 28 \|\| -96 \|\| 18 \|\| 55
		+	\|}
		+
		+
		+	==See Also==
		+	*[[Manuals/calci/PERSYMMETRIC\| PERSYMMETRIC]]
		+	*[[Manuals/calci/PASCAL\| PASCAL]]
		+	*[[Manuals/calci/UPPERTRIANGULAR\| UPPERTRIANGULAR]]
		+
		+	==References==

← Older revision		Revision as of 17:16, 5 May 2015
Line 1:		Line 1:
−	<div style="font-size:30px">'''TRIANGULAR'''</div><br/>	+	<div style="font-size:30px">'''MATRIX("TRIANGULAR",order)'''</div><br/>
		+	*<math>order</math> is the size of the Triangular matrix.
		+
		+	==Description==
		+	*This function gives a triangular matrix of order 3.
		+	*A square matrix is called triangular matrix if that matrix is an upper triangular matrix or lower triangular matrix.
		+	*A square matrix is called lower triangular if all the entries above the main diagonal are zero.
		+	*Similarly, a square matrix is called upper triangular if all the entries below the main diagonal are zero.
		+	*So a triangular matrix is a special kind of square matrix.
		+	*A triangular matrix is one that is either lower triangular or upper triangular.
		+	*Some matrices, such as the identity matrix, are both upper and lower triangular.
		+	*A matrix is upper and lower triangular simultaneously if and only if it is a diagonal matrix.
		+	*Also lower triangular matrix is called left triangular matrix and upper triangular matrix is called right triangular matrix.
		+	*Triangular matrices have the following properties:
		+	#The inverse of a triangular matrix is a triangular matrix.
		+	#The product of two triangular matrices is a triangular matrix.
		+	#The determinant of a triangular matrix is the product of the diagonal elements.
		+	#The eigenvalues of a triangular matrix are the diagonal elements.
		+	*In calci, MATRIX("triangular") gives the triangular matrix of order 3.
		+	*MATRIX("uppertriangular") or MATRIX("upper-triangular") gives the upper triangular matrix of oreder 3.
		+	*Also MATRIX("lowertriangular") or MATRIX("lower-triangular") is showing the lower triangular matrix of order 3.
		+	*So in Calci, users can get the different types of triangular matrices with the different orders.

Manuals/calci/TRIANGULAR - Revision history

Devika: /* Examples */

Swapna at 14:06, 26 July 2015

Devika: /* References */

Devika: /* Examples */

Devika at 17:44, 5 May 2015

Devika at 17:26, 5 May 2015

Devika at 17:16, 5 May 2015

Abin: Created page with "'''TRIANGULAR'''"

Abin: Created page with "
'''TRIANGULAR'''

"