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a) T:M2(R)P2(R), defined via T(acbd)=a+(b+c)x+dx2, with respect to the basis (0010),(1000),(0001),(0100) of M2(R) and the basis {x,1+x,x2} of P2(R). b) T:P2(R)P4(R) defined via T(p)(x)=x2p(x)+x2p(x), with
a) T:M2(R)P2(R), defined via T(acbd)=a+(b+c)x+dx2, with respect to the basis (0010),(1000),(0001),(0100) of M2(R) and the basis {x,1+x,x2} of P2(R). b) T:P2(R)P4(R) defined via T(p)(x)=x2p(x)+x2p(x), with respect to the basis {3,2x,1+x+x2} of P2(R) and the basis {1,x,x2,x3,x4} of P4(R). c) T:M2(R)M2(R) defined by T(C)=BC, where B=(0131), with respect to the basis X={(0010)(0001)(1100)(1110)} in both the domain and codomain
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