Let T: P2 → P2 be a linear transformation defined by T(f(x)) = xf'(æ) + f"(x), where P is the vector space of polynomials of degree less than 3. Let A be the matrix representing T with respect to the ordered basis {1,x,1+ x²}. Which of the following matrices is similar to A? A. 3 1 -1 1 В. To o 2 Olo 1 0 0 0 2 C. -1 31 1 0 1 1 2. D. 1 -1 1/2 1 1 Е. Г1/2 3 2/3 -1/2 2 0 0 Windows'u Etkinleştir Windows'u etkinleştirmek için Ayarlan 1

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...
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Let T : P2 → P2 be a linear transformation defined by T(f(x)) = æf'(x) + f"(x), where P2 is the vector space of polynomials of degree less than 3. Let A be the matrix representing T
with respect to the ordered basis {1, x, 1 + x²}.
Which of the following matrices is similar to A?
A.
1
2
3
O0 1
-1
1
В.
[o 0 2
1
0 0 2
C.
-1
3
1
1
1
3
2
D.
1
-1 1/21
1
1
2
Е.
[1/2 3
2/3
1 -1/2
2 0 0
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Transcribed Image Text:Let T : P2 → P2 be a linear transformation defined by T(f(x)) = æf'(x) + f"(x), where P2 is the vector space of polynomials of degree less than 3. Let A be the matrix representing T with respect to the ordered basis {1, x, 1 + x²}. Which of the following matrices is similar to A? A. 1 2 3 O0 1 -1 1 В. [o 0 2 1 0 0 2 C. -1 3 1 1 1 3 2 D. 1 -1 1/21 1 1 2 Е. [1/2 3 2/3 1 -1/2 2 0 0 Windows'u Etkinleştir Windows'u etkinleştirmek için Ayarlar
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