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Linear Combinations, Basis and Transformations
1. Given a basis B = { u1 = [1, 2], u2 = [2, 1] } for R^2, express u = [7, -2] as a linear combination of u1 and u2. How many ways can you do this? (in this problem...the u1 and u2 should actually be u sub 1 and u sub 2...I couldn't do that notation here....also the u1, u2, and u should all be bold to represent vectors)
2. Let T be the reflection through the x - axis in R^2. Is T a linear transformation? If so, find the standard matrix of T.
Explain in simple terms how solving linear equations is similar and different than solving linear inequalities. Cite and explain three examples.
Probability of sports, Eighty seven cities were surveyed to determine sports teams. The survey found that
Sample Question: Binomial Probability Distribution. Assume a binomial probability distribution with n=40 and Ï? =.30(pi =.30) . (Round all z values to 2 decimal places.)
Description of Probability distribution function, Please give step-by-step process for solving the following probability problems.
nna bought twelve pieces of gum consisting of only red gumballs & white gumballs. Find number of white gumballs from 12 pieces.
Ace Computer store receive laptops from 3 different computer vendors. Ace receive 20% of laptop, from B 40% and 40 % from vendor C. The probability of receiving a defective laptop from A is .01, B, .02 and C, .08.
Calculating the height of the statue - find out how high is the statue?
Mean and Variance and Error Probability, Binary data are transmitted over a noisy communications channel in block of 16 binary digits
Write the statement in symbolic form (Let p: The tent is pitched. q: The bonfire is burning. #40, The bonfire is not burning, however the tent is pitched.
the students are psychology majors & 62% are business majors. If there are 200 students, how many of them are majoring in both psychology & business?
Construct the green's function that satisfies xG''-(2x+1)G'+(x+1)G= ?(x-s), G(0,s)=G(1,s)=0
Suppose you have 3 nickels, 2 dimes and 6 qtrs in your pocket. If you draw a coin ramdomly what is the probality that a. you will draw a dime ? b. you will draw a half dollar ? c. you will draw a qtr?
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