Question: 2. Consider the linear transformation f : P (R) - Matzx2(R) given by the rule f(a + br + cr' + dx3 + ex') =

2. Consider the linear transformation f : P (R) - Matzx2(R) given by the rule f(a + br + cr' + dx3 + ex') = atba-cte] dtec-dte (a) Is 1 + 2x + 3x2 -4x* + 5x4 in the kernel of f? (b) Find two vectors in the kernel of f. (c) Is the identity matrix /2x2 in the image of f

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