Reference no: EM131305104
1. Find the lengths and the inner product of
.
2. For
find a basis for the orthogonal complement to the row space; choose a convenient vector in both of these spaces and verify/demonstrate the orthogonality.
3. Show that if vectors (x-y) and (x+y) in R2 are orthogonal then ||x|| = ||y||.
4. Suppose an n by n matrix in invertible: AA-1 = I. Then the first column of A-1 is orthogonal to the space spanned by which rows of A.
5. Project 
onto the line through 
. Show that b - a is orthogonal to a.
6. Find Ax^ in the column space closest to b for the system
7. Find the least squares line of best fit through the following points:
(t,b) = (-2, 4), (0, 1), (-1, 3)
8. Use Gram-Schmidt method to orthonormalize the basis:
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Black-scholes option pricing model-what is options value
: Black-Scholes Model Assume that you have been given the following information on Purcell Industries: Current stock price = $15 Strike price of option = $14 Time to maturity of option = 6 months Risk-free rate = 8% Variance of stock return = 0.11 d1 =..
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Define a class to represent logical matrix
: COMP3200: Object-Oriented Programming Assignment. Define a class (called LogMat) to represent logical matrix of any binary relation as explained previously. The class has three member variables: matrix (as dynamic 2-D array), rowSize and columnSize
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Find the price of a call option on the stock
: The current price of a stock is $15. In 6 months, the price will be either $18 or $11. The annual risk-free rate is 7%. Find the price of a call option on the stock that has a strike price of $12 and that expires in 6 months.
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What is the exercise value of call option-option time value
: A call option on the stock of Bedrock Boulders has a market price of $7. The stock sells for $29 a share, and the option has a strike price of $26 a share. What is the exercise value of the call option? What is the option's time value?
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Find a basis for the orthogonal complement
: find a basis for the orthogonal complement to the row space; choose a convenient vector in both of these spaces and verify/demonstrate the orthogonality.
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Discuss two different roles that project managers can play
: Discuss at least two different roles that project managers can play in organizational leadership. Describe at least three human resource factors that affect project management.
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Modify the previous program to get its input from a file
: Write a program that accepts a sequence of average daily temps and computes the running total of cooling and heating degree-days. The program should print these two totals after all the data has been processed.
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What you now know about statistical inference
: Based on what you now know about statistical inference, is Sara's conclusion a logical conclusion? Why or why not? How many friend samples Sara should have in order to draw conclusion with 95% confidence interval? Why?
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Design and implement a simulation of the game of volleyball
: Design and implement a simulation of the game of volleyball. Normal volleyball is played like racquetball, in that a team can only score points when it is serving. Games are played to 15, but must be won by at least two points.
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