User manual MAPLESOFT MAPLE

[. . . ] Maple User Manual Copyright © Maplesoft, a division of Waterloo Maple Inc. 1996-2009 Maple User Manual Copyright Maplesoft, Maple, MapleSim, Maple Application Center, Maple Student Center, Maplet, Maple T. A. , and MapleNet are all trademarks of Waterloo Maple Inc. No part of this book may be reproduced, stored in a retrieval system, or transcribed, in any form or by any means -- electronic, mechanical, photocopying, recording, or otherwise. Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor. [. . . ] To insert a matrix, click the Insert Matrix button. 5. 3 Linear Algebra · 191 Figure 5. 3: Matrix Palette: Choosing the Size After inserting the matrix: 1. After specifying all entries, press Enter. > 192 · 5 Mathematical Problem Solving Creating Vectors To create a vector, use angle brackets (< >). To create a column vector, specify a comma-delimited sequence, <a, b, c>. > To create a row vector, specify a vertical-bar-delimited (|) sequence, <a | b | c>. > For information on the Vector command options, refer to the ?Vector help page. If either the number of rows or number of columns specified is 1, then you have the option of inserting a matrix, or inserting a vector of the appropriate type. See Figure 5. 4. 5. 3 Linear Algebra · 193 Figure 5. 4: Insert Matrix or Insert Vector Editing and Viewing Large Matrices and Vectors Matrices and smaller, and vectors with 10 or fewer elements, display in the document. In the Type drop-down list, select a matrix type, for example, Custom values. matrix. > 194 · 5 Mathematical Problem Solving To edit or view a large matrix or vector, double-click the placeholder. See Figure 5. 5. Figure 5. 5: Matrix Browser To specify the value of entries using the Matrix Browser: 1. When you have finished updating entries, click Done. 5. 3 Linear Algebra · 195 You can view the matrix or vector as a table or as an image, which can be inserted into the document. To set the maximum dimension of matrices and vectors displayed inline: · Use the interface command with the rtablesize option. For example, interface(rtablesize = 15). Creating Matrices and Vectors for Large Problems By default, matrices and vectors can store any values. To increase the efficiency of linear algebra computations, create matrices and vectors with properties. You must specify the properties, for example, the matrix or vector type or the data type, when defining the object. To specify the matrix type: · Use the Shape and Type drop-down lists. To specify the data type: · Use the Data type drop-down list. For example, define a diagonal matrix with small integer coefficients. Enter the values in the diagonal entries. > Note: To create a matrix with randomly generated entries, select the Random Type. You cannot specify properties when defining vectors using the angle-bracket notation. To define a column vector using the Vector constructor, specify: · · · The number of elements. If you explicitly specify all element values, this argument is not required. Parameters such as shape, datatype, and fill that set properties of the vector. The following two calling sequences are equivalent. > > 5. 3 Linear Algebra · 197 To create a row vector using the Vector constructor, include row as an index. [. . . ] The Database package uses external calling to allow you to query, create, and update databases in Maple. For more information on using external calling, refer to the ?ExternalCalling help page. Mathematica Translator The MmaTranslator package provides translation tools for converting Mathematica® expressions, command operations, and notebooks to Maple. The package can translate Mathematica input to Maple input and Mathematica notebooks to Maple documents. [. . . ]