Find a basis for the null space of the linear transformation T: R4 →→ R³ and state the nullity. x1 3x2 + 5x3+15x4 3x₁8x22x3 - 23x4 4x1+7x2 + x3 16x4 T(x) = Enter vectors horizontally surrounded by [ and ] where elements are separated by commas. The nullity is 3 - X

Q: Evaluate: da

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Q: Refer to image

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Q: A-1 does not exist.

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Q: ちメー」 dx らメ 2x+3

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Q: only d

A: Given the table, Here,  fx=x2-1x-1 We need to explain why we can't just find f1 to determine…

Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: -8 - 12

A: Given problem is

Q: 3. Identify all the cycles at each node of the directed graph above.

A: Cycle is defined as a path that start and end at the same vertex.

Q: i 15Y4 + 32X+ 23x?+ 25X-3

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Q: xy dxdy Hw

A: See attached file for a step by step explanation.

Q: tan x+ cot x csc(2x) = %3D

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Q: L'im 2x - 3

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Q: 3 X-

A: Given,xdydx + y = xy3 — 1This is Bernoulli's equation.Divide both side by -12 xy3- 2dydxy3 - 2xy2 =…

Q: 36 70

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Q: 1) 6dx 3/3

A: ∫33361+x2dx=6∫33311+x2dx=6tan-1x333=6tan-13-tan-133=6tan-13-tan-113=6π3-π6=2π-π=π

Q: 1 3 8.

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Q: f 3 +4 F 27/-1)dt +

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