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Let V be a finite-dimensional real (i.e. F = R) vector space. Let T be an element of L(V)(set of operators on V),and assume that T^2 = 0.
a) Prove that rangeT is contained in nullT.
b) Prove that dimnullT >= (dimV )/2. Hint. Make use of a)
Find the equation of the parabola. Find 2 points that define latus rectum. Graph. Focus (0,1) Diectrix line y= -1. Find the equation of ellipse.draw the graph. Center (0,0) Focus(0,8) Vertex (0,-10).
Problem needs to include all required steps and answer. Answers need to be reduced to lowest terms where possible.Use the FOIL method to simplify the binomials.
explain what it means for a rational equation to have more than one solution. provide an example of a rational
Show that if (f_n), (g_n) converges uniformly on the set A to f and g respectively,then (f_n+g_n) converges on A to f+g.
Solve the value for X.
a camp director expects 100 children to enroll at 350.00 but by giving a 20 decrease in price he expects 10 more to
For each of the relationships below, explain whether you think it is best described by a linear function or a non-linear function. Explain your reasoning thoroughly.
a rock is thrown upward from the edge of a 50 m cliff overlooking lake superior with an initial velocity of 17.2 ms.
Verify the following algebraic properties of C. The complex numbers 0 and 1 are the additive and multiplicative identities of C, respectively.
Find the maximum harvest.
In algebra, we often have to solve simultaneous differential equations. If the equations are linear and independent, there is a unique solution when the number of equations equals the number of variables.
Walk, dont run. Louise walked for 2 hours than ran for 1 and 1/2 hours. If she runs twice as fast as she walks and the total trip was 20 miles then how fast does she run?
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