Manuals/calci/DIAGONALMATRIX - Revision history

Devika: /* Examples */

2019-04-09T18:42:55Z

Examples

2018-08-15T18:42:23Z

2018-08-15T18:41:16Z

2017-06-08T19:32:03Z

2017-06-06T19:12:07Z

References

2017-06-06T19:11:25Z

Description

2017-06-06T19:03:34Z

Description

2017-06-06T19:03:09Z

Description

2017-06-06T18:47:43Z

2017-06-06T18:33:20Z

Created page with "diagonal"

New page

diagonal

← Older revision		Revision as of 18:42, 9 April 2019
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	==Examples==		==Examples==
		+
		+	==Related Videos==
		+
		+	{{#ev:youtube\|v=Wc9DwLLXP8k\|280\|center\|Diagonal Matrix}}

	==See Also==		==See Also==

@@ Line 5: / Line 5: @@
 ==Description==
 *This function shows the Diagonal matrix of a given order.
-*In <math>DIAGONALMATRIX(Number)</math>, <math>Order</math>  is the order of square matrix.
+*In <math>MATRIX (TypeOfMatrix,DimensionsOfMatrix,SeedValuesToUse,IJFunction,PreParameter,IsItInternalCall</math>, <math>DimensionsOfMatrix</math>  is the order of square matrix.
 *A diagonal matrix is a square matrix which is of the form <math>a_{ij}=c_{i} \delta_{ij}</math> where <math>\delta_{ij}</math> is the Kronecker delta, <math>c_{i}</math> are constants, and i,j=1, 2, ..., n.
 *The general diagonal matrix is of the form:

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''DIAGONALMATRIX(Number)'''</div><br/>
+<div style="font-size:25px">'''MATRIX (TypeOfMatrix,DimensionsOfMatrix,SeedValuesToUse,IJFunction,PreParameter,IsItInternalCall)'''</div><br/>
-*<math>Number</math> is the size or order of the matrix.
+*<math>TypeOfMatrix</math> is the type of the matrix.
 ==Description==

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''DIAGONALMATRIX(Order)'''</div><br/>
+<div style="font-size:30px">'''DIAGONALMATRIX(Number)'''</div><br/>
-*<math>Order</math> is the size or order of the matrix.
+*<math>Number</math> is the size or order of the matrix.
 ==Description==
 *This function shows the Diagonal matrix of a given order.
-*In <math>DIAGONALMATRIX(Order)</math>, <math>Order</math>  is the order of square matrix.
+*In <math>DIAGONALMATRIX(Number)</math>, <math>Order</math>  is the order of square matrix.
 *A diagonal matrix is a square matrix which is of the form <math>a_{ij}=c_{i} \delta_{ij}</math> where <math>\delta_{ij}</math> is the Kronecker delta, <math>c_{i}</math> are constants, and i,j=1, 2, ..., n.
 *The general diagonal matrix is of the form:

← Older revision		Revision as of 19:12, 6 June 2017
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	==References==		==References==
−	*[http://mathworld.wolfram.com/DiagonalMatrix.html]	+	*[http://mathworld.wolfram.com/DiagonalMatrix.html Diagonal matrix]

@@ Line 16: / Line 16: @@
 *That is,the matrix D = (di,j) with n columns and n rows is diagonal if:
 <math>\forall i,j \isin {1,2,....n},i \ne j \rArr d_{i,j} = 0</math>
-<math>\isin</math>

@@ Line 5: / Line 5: @@
 *This function shows the Diagonal matrix of a given order.
 *In <math>DIAGONALMATRIX(Order)</math>, <math>Order</math>  is the order of square matrix.
-*A diagonal matrix is a square matrix which is of the form <math>a_{ij}=c_{i} \delta_{ij}</math> where <math>delta_{ij}</math> is the Kronecker delta, <math>c_{i}</math> are constants, and i,j=1, 2, ..., n.
+*A diagonal matrix is a square matrix which is of the form <math>a_{ij}=c_{i} \delta_{ij}</math> where <math>\delta_{ij}</math> is the Kronecker delta, <math>c_{i}</math> are constants, and i,j=1, 2, ..., n.
 *The general diagonal matrix is of the form:
 <math>\begin{bmatrix}
@@ Line 13: / Line 13: @@
 & 0 & \cdots & c_{n}
 \end{bmatrix} </math>
-As stated above, the off-diagonal entries are zero. That is, the matrix A = (ai,j) with n columns and n rows is diagonal if
+*So the main diagonal entries are need not to be zero and off-diagonal entries are zero.

← Older revision		Revision as of 18:47, 6 June 2017
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−	diagonal	+	<div style="font-size:30px">'''DIAGONALMATRIX(Order)'''</div><br/>
		+	*<math>Order</math> is the size or order of the matrix.
		+
		+	==Description==
		+	*This function shows the Diagonal matrix of a given order.
		+	*In <math>DIAGONALMATRIX(Order)</math>, <math>Order</math> is the order of square matrix.
		+	*A diagonal matrix is a square matrix which is of the form <math>a_{ij}=c_{i} \delta_{ij}</math> where <math>delta_{ij}</math> is the Kronecker delta, <math>c_{i}</math> are constants, and i,j=1, 2, ..., n.
		+	*The general diagonal matrix is of the form:
		+	<math>\begin{bmatrix}
		+	c_{1} & 0 & \cdots & 0 \\
		+	0 & c_{2} & \cdots & 0 \\
		+	\vdots & \vdots &\ddots & \vdots \\
		+	0 & 0 & \cdots & c_{n}
		+	\end{bmatrix} </math>
		+	As stated above, the off-diagonal entries are zero. That is, the matrix A = (ai,j) with n columns and n rows is diagonal if