Consider the operator(function) S on the vector space R1[x] given by: S(a + bx) = -a + b + (a + 2b)x And the basis {b1, b2} which is {-1 + x, 1 + 2x} respectively A) Find µs,b1(y), µs,b2(y), and µs(y)

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A: Given Matrix is  A1=2-13-2 Solution a) A1-λI=0⇒2-λ-13-2-λ=0⇒2-λ-2-λ+3=0⇒λ2-1=0⇒λ=±1 λ=±1 are the…

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Q: d and e is not solved

A: We already have  A(t)=t23t43-2t-13-t23 and general solution  x(t)=3+t3c1+t2c2-tc1-c2

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A: From the above details we have,