[2x1 – 3x2] - () = | ×1– 4x2 Let T X2 a) Show that T is a linear transformation map. b) Find a standard matrix of the map T .

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A: We have to find the limit.

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A: Please find attachment for the details solution

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A: A is a 4×5 matrix with rank (A) = 3 

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A: We can solve this by using above information

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A: We will solve them by using examples. 

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A: We have to find the radius and interval of convergence.

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A: This is a problem of IVP

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Q: 2. If A\B C B, which of the following may be true? а. АСВ b. A= Ø c. A OB = Ø

A: A\ B = { x : x ∈A and x ∉Ba and b may be true a. if A ⊆ B,  say A ={1,2,3},  and  B={ 1,2,3,4}A\B = ...

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A: Comparison  Test :    If ∑n=1∞ an and ∑n=1∞ bn be the two positive term series and an≤ K.bn for all ...

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A: Solution:-

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Q: 2x+3 (1) Find the domain of the function H(x)= x' - 4x

A: The complete solution is in given below  

Q: find the root using Regula-Falsi Method using excel x-e^-x=0

A: