Matrices 481
Rank Rank of a rectangular matrix.
RANK(matrix)
Example:
RANK returns 2
Pivot Given a matrix, a row number n, and a column number,
m, uses Gaussian elimination to return a matrix with
zeroes in column m, except that the element in column m
and row n is kept as a pivot.
pivot(matrix,n,m)
Example:
pivot returns
Trace Finds the trace of a square matrix. The trace is equal to the
sum of the diagonal elements. (It is also equal to the sum
of the eigenvalues.)
TRACE(matrix)
Example:
TRACE returns 5
Advanced
Eigenvalues Displays the eigenvalues in vector form for matrix.
EIGENVAL(matrix)
Example:
EIGENVAL returns:
.
12
34
12
34
56
11,,
12
02–
04–
12
34
12
34
5.37228 0.37228–