Find
T(v)
by using the standard matrix and the matrix relative to
B
and
B^(')
.
T:R^(2)->R^(3),T(x,y)=(x y,x,y),v=(5,7),B={(1,-1),(0,1)},B^(')={(1,1,0),(0,1,1),(1,0,1)}
(a) the standard matrix
T(v)=
(b) the matrix relative to
B
and
B^(')
(in terms of the standard basis)
T(v)=