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For each of the following vector spaces, give its dimension and a basis.
(a) the set of all symmetric 4 x 4 matrices,
(b) the subspace of P3 consisting of those polynomials in P3 whose graphs pass through the origin
(c) the set of all vectors in R3 that are orthogonal to v = (1,2,-1)
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
In a local election, there are eight candidates for five positions as judges on the Supreme Bench. The number of possible outcomes of the election is:
Find the amount of the winning bid if there were 7 bidders.
When she is 30, Sue starts making annual deposits of $2,000 into a bondfund that pays 8% annual interest compounded continuously. Assuming that her deposits are made as a contiuous income flow, how much money will be in her account if she retires ..
Probability : Demand for a Product The demand for a product is estimated to be normally distributed with u=200 and o=40. Let x be the number of units demanded
Let B(r,t) compute the balance (in dollars) of account after t years with an r% interest rate. What are the units of dB/dr? (dB/dr is in partials notation)
Find all triples (x, y, z) of real numbers having the following property: when any one of the numbers is added to the product of the other two, the result equals 2.
Determine the minimum production level required for a day's production to be in the top 5% of production levels.
From central parking it is 9/10 of a mile to the science building. Bob started at central parking and walked 1/5 of a mile toward the science building. He stopped for coffee.
Matrice operations
Probability review: quota; banzhaf distribution; shapely-shubick distribution; dictators, veto power players, dummies please show all work for complete understanding, find probality of pulling ethier an even number card or a red number card on one pu..
Use Fermat's Little Theorem to compute 3^302 mod 5, 3^302 mod 7, and 3^302 mod 11. Use your results to find 3 ^ 302 mod 385
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