Not role, row

Not role, row

Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices, with the metric being the Euclidean metric in Rn^2 when a matrix is identiﬁed with a long, n2...

Denoting, as usual, by (a, b) an ”open interval”, {x : a<x< b} and by [a, b] the corresponding ”closed interval”, {x : a≤x≤b} of real numbers, prove that sup(a, b)=sup[a, b]=b and inf(a, b)=inf[a,...

Since the infinite sum of the inverse squares is (pi^2 / 6), is the infinite sum of the squares equal to the inverse of (pi^2 / 6)?

Please I really need help

Please and thanks

Please explain if you can.

Consider points P = (0, a), Q = (c, b) in the plane, with a, b, c all positive. Find a point R = (x, 0) so that the distance P R+QR is minimal. Justify that your answer is indeed a minimum.

Describe how it could happen that three different animals could each be claimed -rightfully- to be the largest of the three. Discuss the implications of this kind of situation for teaching students...

TV Circuit has 30 large-screen televisions in a warehouse in Erie and 60 large-screen televisions in a warehouse in Pittsburgh. Thirty-five are needed in a store in Blairsville, and 40 are needed...

Write the polynomial equation if it has x - intercepts (-6,0) and (1,0) with a tangent at (1,0) and goes through the point (4,-30)

A construction company has dump trucks that hold 10 cubic yards. If the company's workers dig a hole that os 8 feet deep, 20 feet wide, and 30 feet long, then how many dump truck loads will they need...

Three marbles are drawn randomly WITH REPLACEMENT from a box with 5 blue and 7 green marbles. (a) What is the probability that all the marbles drawn are green? (b) What is the probability...

I'm having a lot of trouble trying to solve the equations algebraically on the interval (0,2pi). Any help is greatly appreciated! 1) tanx= 0 2) 4sin^2x-1=0

Find the definite integral of the function cosx at points from a to b by definition.

ACME company's expected sales can be modeled by g(t)=t^3-2t^2+4t-7, where g(t) is measured in thousands of dollars and t is the number of years after 2008.

Let A and B be independent events. If P(A) = 1/4 and P(B) = 1/3, find (a) P(A|B). (b) P(B U A). (c) P(A`n B) (d) Find P(A U B|A).

Suppose that two balanced (six-faced) dice are rolled. Let X be the sum of the two faces showing. (a) Find RX. (b) Find the probability mass function of X. (c) Calculate the probability...

I'm having trouble finding the missing sides and angles for the triangle. I know you have to use law of sines to find them, but I'm having trouble. Any help is greatly appreciated! A=...

Q1 prove piecewise convergent on (0,infinity) Q2 prove uniform convergent on [1,infinity) Please help with these two equations. Much Thanks, it's preparation for final exam...