LINEAR ALGEBRA OPERATIONS IN A CALCULATOR

The following is a rough guide to linear algebra operations
found

in the TI-85. Use this to find and familiarize
yourself with

the corresponding operations in your own calculator.
If necessary,

I can help you with this during office hours- but ordinarily
I will

not use calculators in class.

MATRICES are entered by row vectors, with no commas between rows.

MENU ADDRESS FUNCTION

matrix/names names of existing matrices

matrix/edit change matrix entries, insert/delete columns or rows

matrix/math/det determinant

/eigvl eigenvalues

/eigvc eigenvectors

/t transpose

/LU LU(A,L,U,P) given A, computes L,U and P in LU=PA (p.477)

matrix/ops/ident ident 2 = 2X2 identity matrix

/aug
aug(A,B) (resp. aug (A,v)) augments the matrix A by the matrix B

(resp. by the vector v).

/ref
ref A returns the row echelon form of A

/rref rref A returns the reduced row-echelon form of A

VECTORS are entered as row vectors, treated as column vectors when acted upon by matrices.

vector/names names of existing vectors

vector/edit change entries

vector/math/cross cross(v,w) returns the cross-product of v and w

/norm norm v = norm of v

/dot dot(v,w)= dot product of v and w

vector/ops/>pol >pol [x,y] returns [x,y] in polar coords(similar for spherical)

the key MODE allow one to express angles in degrees (rather than radians), etc.

the operation "simult", which may be found with the key "CATALOG", solves linear systems

simult(A,v) returns the solution x to Ax=v
(only nonsingular A accepted!)