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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)
In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items..
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Make a confidence interval at the 95 percent level
Determine the following values
A number is divisible by 2 if the last digit is divisible by 2. A number is divisible by 4 if the last two digits form a number divisible by 4. A number is divisible by 8 if the last three digits for a number divisible by 8.
Factorize and solve the given quadratic equation and Solving the given quadratic equation by using formula method
Provide probability distribution, histogram, and find the expected value of a coin that is tossed 3 times
Jack and Jill ran a 200 meter race. Jill ran the race in 25 seconds and won by 5 meters; that is Jack had run only 195 meters when Jill crossed the finish line.
Confidence level explained in this answer, Armed forces credit union probability and card holders would like to figure a $10 of the true mean with a 98% confidence level
Calculate the missing R-square statistic.
Center of Mass of 3D Pyramid, Finding the center of mass of a square-based 3D pyramid is usually done in calculus, but our professor wants us to work it out in algebra.
Probability of Having a Disease when Testing Positive. Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who tests positive for the disease has a 99% chance of actually having..
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