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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