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In Maple, how can I multiply two matrices?

Intuition suggests that to specify the multiplication of two matrices in Maple, you would simply type A * B. However, this will not work, as shown below:

> A := array([[1,2],[3,4]]); [ 1 2 ] A := [ ] [ 3 4 ] > B := array([[1,1],[2,-1]]); [ 1 1 ] B := [ ] [ 2 -1 ] > A * B; A B

To indicate non-commutative matrix multiplication, you must use the operand  &* . Also, the function evalm is required to evaluate an expression involving matrices. It will perform any sums, products, or integer powers involving matrices, and will map functions onto matrices:

> A &* B; A &* B > evalm(A&*B); [ 5 -1 ] [ ] [ 11 -1 ] > evalm(sin(A)); [ sin(1) sin(2) ] [ ] [ sin(3) sin(4) ]

Notice that Maple does not evaluate sin(1), sin(2), etc.

For more about Maple, see Maple at IU.

For more about statistical and mathematical software, email the UITS Stat/Math Center, visit the center's web page, or phone 812-855-4724 (IUB) or 317-278-4740 (IUPUI). The center is located in Bloomington at 410 N. Park Avenue, and is open for consultation by appointment Monday-Friday 9am-5pm.

This is document afbm in domain all.
Last modified on April 19, 2011.

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