Question: Consider the vector space V = {a + ax+2x:a, = R for i = 0,1,2} of polynomials of degree at most 2. Let f:VR

Consider the vector space V = {a + ax+2x:a, = R for

Consider the vector space V = {a + ax+2x:a, = R for i = 0,1,2} of polynomials of degree at most 2. Let f:VR be a linear functional such that f(1+x) = 0, f(1-x)=0 and f(x-x)=2. Then f(1+x+x) equals Question Number: 2 Correct: 1 Wrong: 0 Let A be a 77 matrix such that 2A-A4 = I. where I is the identity matrix. If A has two distinct eigenvalues and each eigenvalue has geometric multiplicity 3. then the total number of nonzero entries in the Jordan canonical form of A equals

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