(a) Describe the process for finding X and indicate its value. (b) Describe the process for...

  

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(a) Describe the process for finding X and indicate its value. (b) Describe the process for finding A1 and indicate its value. (c) Describe the process for finding Y and indicate its value. (d) Is the above system L one-to-one? Briefly explain. (e) Is the above system L onto? Briefly explain. x(t)=a+bt+ct P input X= [x(t)]s 3x1 vector L() L(x(t))=a+(a+2b)t+(a+2c)t P Abstract mathematics A(matrix) Y = A X output S = {1+t, 1-t t} is a basis for P. Y = [L(x(t))]s 3 x 1 vector The above figure shows a system L with inputs and outputs belonging to the P_2 function space as a matrix with respect to the basis S of P_2. (a) Describe the process for finding X and indicate its value. (b) Describe the process for finding A1 and indicate its value. (c) Describe the process for finding Y and indicate its value. (d) Is the above system L one-to-one? Briefly explain. (e) Is the above system L onto? Briefly explain. x(t)=a+bt+ct P input X= [x(t)]s 3x1 vector L() L(x(t))=a+(a+2b)t+(a+2c)t P Abstract mathematics A(matrix) Y = A X output S = {1+t, 1-t t} is a basis for P. Y = [L(x(t))]s 3 x 1 vector The above figure shows a system L with inputs and outputs belonging to the P_2 function space as a matrix with respect to the basis S of P_2.

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a To find the value of X we need to solve the equation given in the system L X 2Y 10 Rearranging the ... View the full answer