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MATH 2090 : Tesreview3

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azuremammoth471

15 Mar 2019

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Review sections: 5. 1, 5. 3, 5. 6, 5. 7, 6. 1-6. 3, and 6. 7. (review also hw assignments) T is a linear transformation or show, by example, which property for linear transformations fails. R be the linear transformation defined by x. 4 (a) find the matrix, a , for t; (b) find a basis for the. 1: determine three li solutions to the de xy rx, given the differential equation (d 1)(d 2d 2) 0y (a) find a basis for the solution space; (b) find the general solution to the differential equation: given the differential equation ( 5 x y (a) find the complementary solution, cy , to the corresponding homogeneous differential equation; (b) find the general solution to the given non-homogeneous equation: solve the following ivp y. 2: use the method of variation of parameters to find a particular solution to the given differential equation (a)

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Related Questions

Let P denote the vector space of all polynomials and f'(x)denote the derivative of all numbers in P. State true or false tothe following:

1. T: R^2 --> R^3 defined by T(x,y)=(?^2x,0, y/2) is a linear transformation

2. T: R^2 --> R^3 defined by T(x,y)=(x+y, x-y, xy) is alinear transformation

3. T: R^2 --> R^3 defined by T(x,y)=(1,0,0) is a lineartransformation

4. T: R^2 --> R^3 defined by T(x,y)= (y, x, y) is a lineartransformation

5. T: R^2 --> R^3 defined by T(x,y)= (x, x^2, x^3) is alinear transformation

6. T: R^2 --> R^3 defined by T(x,y)= (2x+3y, 3x+4y, 4x+5y) isa linear transformation

7. T: P --> P defined by T(f(x))= f(0) +f'(0)x + f''(0)x^2 isa linear transformation

8. T: P --> P defined by T(f(x))= f(1) + f'(2) + f''(3)x^2 isa linear transformation

9. T: P --> P defined by T(f(x))= f(x-3) is alinear transformation

10. T: P --> P defined by T(f(x))= f(x)-3 is a lineartransformation

Pls provide detailed solution

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Please help with a and b