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HP Prime Graphing Calculator User Manual

Page 485

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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:

.

1 2
3 4

1 2
3 4
5 6

1 1

, ,

1 2
0 2

0 4

1 2
3 4

1 2
3 4

5.37228 0.37228