# number11 - MAPLE Worksheet Number 11 Linear Algebra...

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MAPLE Worksheet Number 11 Linear Algebra: Elementary Matrix Manipulation Now we will explore topics from Linear Algebra (stuff covered in MATH 2360 at TTU). To begin we will need to load the linear algebra package. The command is > with(linalg); There's lots of stuff here, let's hope we won't have to use it all. The first thing we need to know is how to enter a given matrix. One way is to list each row as a vector. For example to enter the matrix M = 1 0 1 2 1 0 0 1 1 use the MAPLE command > M:=matrix([[1,0,1],[2,1,0],[0,1,1]]); Another way is to give the row-column size of the matrix and then list all the elements. For example to enter the matrix N= 0 1 2 - 1 3 - 2 try the MAPLE command > N:=matrix(3,2,[0,1,2,-1,3,-2]); In general you can use either command you wish. You should practice using both to see the benefits of each. Now enter the following matrices := P 0 1 1 1 1 0 1 0 1 , := R 1 2 0 1 0 1 1 ,and := Q 2 0 0 1 It seems to me the latter method is the easiest to use for entering a one column matrix (column vector). For example the commands > C:=matrix(4,1,[1,2,3,4]);C:=matrix([[1],[2],[3],[4]]); Define the same 4x1 matrix. To view a previously defined matrix, say M, try the command > M; This isn't terribly enlightning. To "see" M we use the command > evalm(M); I would guess that evalm is short for evaluate the matrix. Next we might want to add two matrices. Try adding M and P in the obvious way

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number11 - MAPLE Worksheet Number 11 Linear Algebra...

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