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Matrices 477
Random Given two integers, n and m, and a matrix name, creates
an n x m matrix that contains random integers in the range
−99 through 99 with a uniform distribution and stores it in
the matrix name.
randMat(MatrixName,n,m)
Example:
RANDMAT(M1,2,2) returns a 2x2 matrix with
random integer elements, and stores it in M1.
Jordan Returns a square nxn matrix with expr on the diagonal, 1
above and 0 everywhere else.
JordanBlock(Expr,n)
Example:
JordanBlock(7,3) returns
Hilbert Given a positive integer, n, returns the n
th
order Hilbert
matrix. Each element of the matrix is given by the formula
1/(j+k-1) where j is the row number and k is the column
number.
hilbert(n)
Example:
In CAS view, hilbert(4) returns
Isometric Matrix of an isometry given by its proper elements.
mkisom(vector,sign(1 or -1))
Example:
In CAS view, mkisom([1,2],1) returns
710
071
007
1
1
2
-
1
3
-
1
4
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1
2
-
1
3
-
1
4
-
1
5
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1
3
-
1
4
-
1
5
-
1
6
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1
4
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1
5
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1
6
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1
7
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1cos 1sin–
1sin 1cos