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(a) Let G = GL(2,R) be the general linear group. LetH=GL(2,Q) and K= SL(2,R) = {A is an element of G: det (A) =1} Show that H,K are subgroups of G
(b) Let p be a prime number and a is an element of Z. Prove that a^p ,is equivalent to, a mod p
Given the vector b= [1 2 3] and the matrix Find the error vector
One measure used to describe a data set is the range. The range of a data set is given by the difference between the max and the min of the set. Find the range of each set of numbers. 7, 7, 5, 4, 1, 9, 8, 8, 8, 5, 2.
given a two-digit number make a three-digit number by putting a 6 as the right-most digit. then add 6 to the resulting
a rational expression is a fraction of two polynomials. if you need to add or subtract two rational expressions how
Suppose a consumer price index of a country is decreasing at the rate of 4.3% per year. Use the approximate half life formula to estimate its half life.
Solve the given fraction
Evaluate the division of two functions.
the longer sides of a rectangular pool are twice as long as the shorter sides . the area taken up by the pool surface
Graph each of the equations on one rectangular coordinate system. (Hint: You must get y by itself before graphing.) Scale the graph accordingly; you will need your x-axis and y-axis to go to at least 100.
Graph the function by making a table of coordinates.
Factor out the greatest common factor from the expression-Completely factor the expression
Describe the process for finding the LCD of two rational expressions. How is factoring related to this process? Give an example.
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