Prove that if A and B are two similar n x n matrices, then they have the same determinant and the same trace.

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Evaluate the following integrals b) ff - dzdydx √√25-x² 25-x Jo

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Q: 7. What function would produce a graph that is the mirror image of the function y = 3.10*? a) y = 3x…

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Q: (iv) part

A: As asked we have solved only part (iv).Question in part (iv) is:

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Q: 4) Use Stirling's approximation to find an approximate formula for the multiplicity of a two-state…

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Q: (a) Find the approximations T4 and M4 for the following integral. (Round your answers to six decimal…

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Q: could you explain the steps you took to get there ?

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Q: oblem 2 Use integral bound to find upper bound and lower 2.1) n x=1 n 2.2) Σ x=1 201 X 312

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Q: Let A= -4 1 -3 3 8 0 5 a) A-BT and B= = b) -3B12 +2 A32 c) B₁* A*2 -2 3 -1 -1 4] -2 10 7 · Calculate…

A: Refer Explanation below Explanation:

Q: Solve the IVP on (-∞, ∞). d³ y d²y dx3 i - dy +5- = dx² dx 2- 0, y(0) = 2, y' (0) = −3, y'(0) = -7

A: Hence the required final solution.Explanation:Step 1:Step 2:Step 3:Step 4:

Q: Consider the differential equation If y(0) dy dt Use a phase-line analysis to find the long-term…

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