Sage Quick Reference

Run a file:

%runfile filename.sage

1	%runfile filename.sage

Create matrices:

matrix(RR, nrows, ncols)  #  real ring
matrix(SR, nrows, ncols)  #  symbolic ring
matrix([[a,b,c],[d,e,f],[g,h,i]])  #  real
vector([a,b,c])  #  single column matrix

matrix(RR, nrows, ncols) # real ring

matrix(SR, nrows, ncols) # symbolic ring

matrix([[a,b,c],[d,e,f],[g,h,i]]) # real

vector([a,b,c]) # single column matrix

Solve M * X = Y (where M – co-efficients; Y – constants) :

M.solve_right(Y)

1	M.solve_right(Y)

Create variables (symbolic math):

x,y = var('x,y')
tan_theta = y / x;

1 2	x,y = var('x,y') tan_theta = y / x;