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invent and prove a formula for the integral:integral (from t_o to t) of e^(tau*A)d*tauof the matrix valued function e^(tau*A), where A is a constant n x n matrix.What restriction does A have to satisfy?
Test your formula by evaluating both sides in the case A = [0, 1; -1, 0], (i.e. row1 = 0 1, row2 = -1 0)
Derive the Euler-Lagrange Differential Equation (rigorously). Explain any theorems or results that you use in the derivation (e.g. don't just say "by the fundamental theorem of the calculus of variations" without telling what the fundamental theor..
Discrete probability distribution
illustrtes the impact of diversification. ignores the probability distribution of cash flows. can only measure one outcome at a time
What is the average number of customers at the tax service, whether waiting for the tax preparer or having the return prepared?
Use Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| = j and LU = A', where A' can be obtained from A by interchanging rows.
By a line, a great circle on the sphere is referenced. Is it still true that two points determine a unique line? Is it still true that two distinct lines either meet in a single point or do not meet at all?
Rework problem 11 from section 1.3 of your text, involving high school students. Assume that 26 take mathematics, 26 take psychology, and 13 take mathematics and psychology.
Write the matrix of T in the standard basis of C^3. Find all eigenvalues of T. Is there a basis of C^3 such that the matrix of T in that basis is diagonal? If your answer is "NO", explain why.
A total of 393 tickets were sold for the school play. They were either adult tickets or students tickets. There were 57 fewer student tickets sold than adult tickets. How many tickets were sold?
Illustrate why the A and B are symmetric
Was the class effective? Use the alpha=.10 level of significance. Use the classical method to solve.
Sketch the Fourier series of f(x) on the given interval - Sketch the Fourier series
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