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Question 1: Using Matrices and Scalars below;
a = 4 and b = -7
i) Show that; (a+b)C = aC+bCii) Show that; (A+B)T = AT + BTiii) Find matrix AB
Question 2. Given
X+y+2z = 92x+4y-3z = 13x+6y-5z = 0
Solve the system of simultaneous equations using matrix method.
How are they interpreted in terms of the original problem? Are the results reasonable? If not, what are the failings of the model that led to poor results?
Determine whether the following arguments are inductive or deductive. If an argument is inductive, determine whether it is strong or weak. If it is deductive, determine whether it is valid or invalid.
Soybean meal is 14% protein, cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280 pound mixture that is 8% protein?
The Great blue hole is a cylindrical trench located on lighthouse reef atoll, an island off the coast of belize. it is about 400 feet deep and holds about 2,349,911,302 gallons. how long will it take to swim across the great blue hole at a rate of..
For a segment of a radio? show, a disc jockey can play 5 records. If there are 7 records to select? from
LOAN AMORTIZATION A sum of $100,000 is to be repaid over a 10-yr period through equal installments made at the end of each year.
HOUSING APPRECIATION In a survey conducted in the fall 2006, 800 homeowners were asked about their expectations regarding the value of their home.
Suppose the price of iPhones decreases to $390. Now how many iPhones will be sold? What is the new consumer surplus?
A scientist writes an article in a scientific journal which claims that fewer than 9 in ten thousand male fireflies are unable to produce light due to a genetic mutation.
How many independent words can 'HEARTLESS' be divided into without changing the order of the letters and using each letter only once?
What is the WACC for this financing?
t an altitude of 8 miles and passes directly over a radar antenna. When the plane has a distance 10 miles from the radar, the radar detects that the distance in increasing at a rate of 300 miles/hour. What is the speed of the plane?
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