Let L : V W be a linear map. Let w e W. Let vo E V such that L(vo) solution of the equation L(X)= w is of the type vo + u, where u E Ker L. = w. Show that any

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A: Note: As per our guidelines we are supposed to answer only one question and rest can be reposted

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A: This is a problem of Linear Algebra and Linear Transformation.

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A: This is a problem of propositional Logic.

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A: Given: The region R in the figure as follows:   To evaluate: The integral, Mass=∬Rx+2ydA  

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Q: Note: F=9 K=6 (F+2)y+(F-12)x+2z 3. Draw the graph of the linear equation: = 4z + 7. %3D (K+2)

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Q: 6. -24 -11 4 Let u = 5 4 ,and w = -16 2 2. -6 We want to determine by inspection (with minimal compu...

A: Given thatu=6452, v=6452 and w=-24-11-16-6

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Q: of y'(x) -ay(x) = 0   (see answer in picture) Task: use the above

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Q: 30 x 20 : 5=....

A: First multiply 30 by 20.

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Q: 8.) Find the LU-factorization of the following matrix 1 2 2 2 3. 1.

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A: A digraph or directed graph is a diagram consisting of  vertices and arrows joining the vertex.

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A: see the attached image below

Q: Express each of the following integrals as a r function. 8. 9. e- dx Hint: Put x* = u.

A: 8 Given integral is ∫0∞x23e−xdx. The Gamma function is define as follows n=∫0∞xn−1e−xdx Now, integra...

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Q: f (x) = log2(x + 8)

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Q: y" a ||

A: This is the problem of Autonomous Differential equations.