Question

In: Advanced Math

B= {1,x,x^2} B’={1-x^2, x-x^2, 1+2x-x^2} T(a+bx+cx^2) = 3a+b+c+(2a+4b+2c)x + (-a-b+c)x^2 a) by direct calculation , compute...

B= {1,x,x^2}

B’={1-x^2, x-x^2, 1+2x-x^2}

T(a+bx+cx^2) = 3a+b+c+(2a+4b+2c)x + (-a-b+c)x^2

a) by direct calculation , compute [P]_B’ , p=7-x+2x^2

b) using basis B={1,x,x^2} , compute [T]_B

c_ compute [T]_B’

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