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Multivariable Mathematics with Maple: Linear Algebra, Vector by James A. Carlson (Author), Jennifer M. Johnson (Author)

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By James A. Carlson (Author), Jennifer M. Johnson (Author)

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Extra info for Multivariable Mathematics with Maple: Linear Algebra, Vector Calculus and Differential Equations

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They are: ", the double quote, ’ , the single quote, and ‘, the backquote. In loops, do must be balanced by a subsequent od. In conditionals, if must be balanced by a subsequent fi. A procedure definition that begins with proc( ... ) must be be terminated by a subsequent end. ). If you use a function in a package, load the package first. Thus, to use matrix, load linalg; to use display, load plots. You load linalg by the command with( linalg ). Do not confuse unassign with unapply. Remember to use ?

The above method for computing s(n) is tedious and repetitive. We can automate it with a loop. 0/i^2; od; First, we define n, the number of terms to add up. Next, we create a variable total to hold the running total. Naturally, we set it to zero before we start. Finally, we run the loop. It consists of two parts. The first, for i from 1 to n, determines the number of times we “do” the loop. The variable i controls its progress. The second part is the loop body, the phrase do total := total + 1/i^2; od .

Is it possible to compute vA? Let x be an unknown vector and solve Bx = v. Exercise 4. Let A be the same matrix as in the previous exercise. Use augment and gaussjord to solve Ax = v, where v = (1, 2, 3). Repeat for Ax = w, where w = (−1, 4, 1). 8 Programming in Maple In this penultimate section we will take an extended look at the problem of summing a series. It will serve as a vehicle for learning about the elements of programming in Maple. We will study loops, conditionals, procedures, and lists.

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