Here we list some ways to use the ti89 to do some linear algebra problems.
See also the scilab.txt page for similar hints using the matlab clone
scilab.

Entering a matrix: (chapter 15 of the man)
Exploring a matrix app 3 366
	enters a random matrix
		RandSeed 0
		randMat(3,3)->a
	modify an entry
		x->a[2,3]
	augments with the identity matrix
		augment(a, identity(3))->b
	row reduces produces [identity(3), a^-1]
		rref(b)	
	Solve for x that kills the inverse 
		solve(getDenom(2nd ans[1,4]=0,x)
		answer is x = -70/17

row reduce rref() 61, 366
random matrix randMat 366

page 389 implies eigVI(), eigVc() is available as well as QR and LU

www.ticalc.org has lots of stuff use search key of matrix

www.ti-89.org is another ti89 site

google: ti89 eigenvector example
www.rowan.edu/math/HASSEN/Mathematica/TI_89_for_linear_algebra.pdf
http://www.cc.gatech.edu/ugrads/a/aorlando/ec.html