'ind the standard matrix of the linear transformation T : R² → R³ that satisfies T(1,1) = (2, 1, 0) and T(1, –1) = (-1,0, 1).

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Q: (b) There exists LE R such that L4 Size(O(n)).

A: Given below clear explanation

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A: Please post the multiple questions separately. Here I answered 1st question only as per our policy.

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Q: 3. Solve the initial value problem y" – 3y' + 2y = 10 sin x with y(0) = 1, y'(0) = -6 by using both…

A: The given initial value problem is                                          y''-3y'+2y=10sinx,…

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A: The given curve is y=3x32-4................(1)     where x varies from 0 to 1.

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

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Q: how that if Λ ∈ Rn and if it meets:

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Q: 1 Question #9) dx x2 + 2x + 10 1 Question #10) x3 – x² – x – 15

A: 9. Given integral isI=∫-∞∞1x2+2x+10dxThe integral is evalauted using Cauchy Residue Theory as shown…

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A: Surface area of revolution about y-axis  S = ∫ 2πx ds where ds=1+dxdy2dy

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A: This is a problem of Differential Geometry.

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A: If the Laplace transform of a function f(t) is F(s) I, e L{f(t) }=F(s) , then f(t) is called an…

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Q: 5. Find all the zeroes of the function f(x) = - 0.5x? + 2.5 x + 4.5 using False Position Method…

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A: Given,  Javier has  $15 spend on action figures Each figure costs  is = $2

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Q: Final the complement afthe graphs in fig-1-34 figti3t

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Q: 1. Let f: Z6 – Z6 be such that f() = x2 + 3. (a) Is f a well defined function? (b) Is f one-to-one?…

A: As per the policy we are solving first 3 sub parts of the given questions. Given :  f : ℤ6→ℤ6…

Q: Differentiate Numerical Methods and Analytical Methods

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Q: Find the following inverse laplace For simplification, you can use x = 22

A: Given that,Fs=xssx-s-xThe given value of x is 2Substituting x=2 in the given function, we…

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Q: 18. G Assume that the conditions are as in Problem 16 except that there is a force due to air…

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Q: Solve the differential equation y" +4y' +4y 6e", y(0) =-2, y'(0)=8. using Laplace transform

A: Given differential equation:y''+4y'+4y=6e-t ; y0=-2 and y'0=8To find: solution by using the laplace…