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(Solved): Find T(v) by using the standard matrix and the matrix relative to B and B^('). T:R^(2)->R^(3),T(x ...



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)=


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