maths calculus & linear algebra tools/programs

[Dimitri Mallis]

hi list

is there a tool or prgram that will solve maths problems im a step by step
way, so i can learn from the solutions?

for example if i wanted the determinate and adjoint of this matrix A it
would solve it for me step by step

A=
[1 2 3]
[4 5 6]
[7 8 9]

det(A) =

=(-1)^(1+1)(1)[5 6] + (-1)^(1+2)(2)[4 6] + (-1)^(1+3)(3)[4 5]
                         [8 9]                           [7
9]                           [7 8]

=(1)(1)(5*9-8*6) + (-1)(2)(4*9-7*6) + (1)(3)(4*8-7*5)

=(1)(1)(40-48) + (-1)(2)(36-42) + (1)(3)(32-35)

=(1)(1)(-8) + (-1)(2)(-6) + (1)(3)(-3)

=-8 +12 -9

= -5

(im not sure if this is right but i think it is) & then it could give me the
adjoint & inverse & transpose in the same way

then for claculus something that could show step by step how to do
derivetives & integrils
eg.

(
  (2x^3 + 7) d(x)
)

= 1/2x^4 + 7x + C

any help would be greatly appreciated
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