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1. (a) Let G be the set of all invertable matrices. Show that G is a group, under matrix multiplication.
(b) Identify a subgroup of G above and show that it is indeed a group.
(c) A matrix is said to be orthogonal if AtA =1. Show that the set of orthogonal matrices forms a group under multiplication.
Let f (x) represent a function of one variable. If we let g(x, y) = f (x), then we have defined a function of two variables.
The families used their sprinklers for a combined total of 55hours, resulting in a total water output of 2125L. How long was each sprinkler used?
Problem 1: Find the average rate of change of the function over the given interval.
The voltage, V , in volts, in an electrical outlet is given as a function of time, t, in seconds, by the function V = 156 cos(120pt).
a parking lot charges 3 for the first hour or part of an hour and 2 for each succeeding hour or part up to a daily
2 baseball players got a total of 352 hits. One had 12 more hits than the other. Find the number of hits for each player.
It is observed that three machines A, B, and C produce, respectively, 60, 80, and 40 units of a product during one workday lasting 8 hours (or 480 minutes).
For a certain contract issued at age 60, 5V = 200, the premium payable at age 65 is 40, q65 = 0.20. Decompose the premium payable at age 65 into the risk and the savings portion.
Show that if there are 100,000,000 wage earners in the United States who earn less than 1,000,000 dollars (but at least a penny).
An orange was measured and found to have a diameter of 9.8 cm. When peeled the average thickness of the peeling, t was 6.5 mm and the mass of the peelings was 110g.
Solve the linear programming problem using the simplex method. How does the method break down?
Experts only! Scholarly responses are required. Please answer each question individually and accurately. Must cite any and all references in APA format. Label each solution with the corresponding question. Copy and pasted solutions will NOT be acc..
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