I'm new on Matlab tools. Teacher told me to find the basis for this polynomials using matlab:
$$ -15 -x+x^2+x^3+x^4+x^5 $$ $$ -35+x+2x^2+3x^3+4x^4+5x^5 $$ $$ -70+x+3x^2+6x^3+10x^4+15x^5 $$ $$ -126+x+4x^2+10x^3+20x^4+35x^5 $$ $$ -210+x+5x^2+15x^3+35x^4+70x^5 $$
So, all I know is define the matrix relative to this system. How to proceed? Please help me step by step. I don't know how to to solve the problem in matlab, but I know how to do it with paper.