7.wxmx

/ Check the linear dependence of vectors. Generate a linear combination of given vectors of Rn/ matrices of the same size and find the transition matrix of given matrix space. /

load("eigen")$;

vector1:covect(read("Enter your first vector in square bracket []:"))$;

vector2:covect(read("Enter your second vector in square bracket []:"))$;

vector3:covect(read("Enter your third vector in square bracket []:"))$;

mat:addcol(vector1,vector2,vector3);

Echelon:echelon(mat)$;

Rank:rank(mat);

if Rank=3 then("vector are linear independence")else("vector are linear dependence");

for i: 1 thru 3 do

poly:print(mat[i][1]"x"+mat[i][2]"y"+mat[i][3]*"z"=0);