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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 straight line perpendicular to the line and find the equation of the parabola in general from whose vertex.
where b is the marginal propensity to consume, G is the government spending, I^0 is the maximum investment level, and a is the responsiveness of investment to interest rates. The LM curve defines the interest rate at which the money market clears
Find maximum revenue.
write the polynomial in factored form.4x3nbsp 8x2nbsp- 96x6xxnbsp 4xnbsp- 44xxnbsp- 4xnbsp 64xxnbsp 6xnbsp 4-4xxnbsp
Find the value of b.
Howard is flying a kite and wants to find its angle of elevation. The string on the kite is 32 meters long and the kite is level with the top of a building that he knows is 28 meters high.
A six-digit integer is formed by placing two 3-digit integers side by side. If the larger of the two integers is placed ahead of the smaller integer, the number formed is six times greater than if the smaller integer is placed ahead of the larger ..
Find the total interest for a loan.
The price Apple presently charges is approximately $300. According to your model, is this price too low or too high? If the demand curve is accurate, what might your model be missing?
One canned orange juice drink is 15% orange juice and another is 5% orange juice. How many liters of each should be mixed together in order to get 10 L that is 12% orange juice?
Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. Then graph the system of inequalities.
What is the width of a rectangle with a perimeter of 300 feet and a length of x feet? Write the equation in the slope-intercept form: 2x + 3y = 90.
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