# Multivariable Mathematics With Maple- Linear Algebra, Vector by James A. Carlson

By James A. Carlson

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**Extra resources for Multivariable Mathematics With Maple- Linear Algebra, Vector Calculus And Differential**

**Example text**

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. Loops are for automating repetitive work. , for making decisions. Procedures are really the same as functions, but the proc-style definition facilitates more complicated definitions.

We will study loops, conditionals, procedures, and lists. Loops are for automating repetitive work. , for making decisions. Procedures are really the same as functions, but the proc-style definition facilitates more complicated definitions. Lists hold pieces of data and look like this: L := [ 2, 3, 5, 7 ]. The third element of this list is 5, and we can form expressions like L[1] + L[2] to get the sum of the first and second elements of the list. Loops Sometimes the quantity which we wish to compute cannot be gotten by evaluating a simple formula.

Compute the determinants of A and of B. Where possible, compute the inverses of A and B. Compute Av where v = (1, 2, 3) as above. 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.