Finite-dimensional vector space
Let T be the linear operator on finite-dimensional vector space V. Prove that T is diagonalizable if and only if V is the direct sum of one-dimensional T-invariant subsapces.
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Suppose that employees are forced to retire after the 45 years and have an annual MRPL of $15,000. Would the existing earnings structure and length of work life be consistent with the firm's profit-maximizing behavior?
If the market goes down today, it has a 20% of going up tomorrow, a 20% chance of being unchanged, and a 60% chance of going down. Calculate the stable distribution for the stock market.
Assume that you can work up to 24 hours per day at a wage of $1 per hour (with the remaining hours for leisure) and you are subject to a tax of 50% on all income over $5 per day (the first $5 per day is untaxed).
A 5 kilogram (Kg) object stretches spring 0.6125 centimeters (cm) in equilibrium. If air resistance is negligible and the object is subjected to the periodic external force of Fe = 400sin(40t) Newtons or Kg•m/sec^2
Assume that there is a fall in the cost of shipping goods by railroad. Discuss what will happen to the difference among the average quality of oranges sold in the Florida and the average quality of oranges sold in New York?
Determine again the following problem: On January 1, 1965, you purchased a small house in Alameda, California for $20,000. On January. 1, 2015, you sold house for $900,000.
You employed the one coin techniques stated in this section, and 54 people answered "yes ." Determine how many students in the group have ever cheated.
It costs $150,000 to buy the machinery and have it installed. IPS Corp. will upgrade its package-labeling machinery. The maintenance and the operation costs, which are $1500 per year for the first three years, increase by 500 per year for the mach
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