Discreet Math.

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fuva777

Mathematics

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total 3 problems. must show work.


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1. Prove by Mathematical induction that for all n 2 1, C(n,1)x+2 * C/n,2)x2 +3 * C(1,3) x3 + ... + n * C(n,n) x^= nx(1+x)n-1 A) If you know something about differential calculus, show how the identity in above problem follows from the binomial theorem using the idea of derivative. 3. Let A = Find a formula for A", where n is a positive integer. Then verify your formula using mathematical induction. -61] [1 0 0 0 0 1 0 0 4. Use the Gauss-Jordan method to find the inverse of A = 0 0 1 0 La b c d
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