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[M] With A and B as in Exercise 41, select a column v of A that was not used in the construction of B and determine if v is in the set spanned by the columns of B. (Describe your calculations.)
Exercise 41
In use as many columns of A as possible to construct a matrix B with the property that the equation Bx = 0 has only the trivial solution. Solve Bx = 0 to verify your work.
Find the equation of the tangent line to the curve
in fiscal year 2000, the U.S. government had a budget surplus of 99 billion (99 X 10^9) dollars. How many years of such surpluses would be needed to pay off the debt, as of July 2004, of 7.26 trillion (7.26*10^12) dollars?
The population in City A is 3 1/2 times the population of City B. The population of City B is 1,600,000. What is the population of CityA?
InterpretationAt Site II, there is a gap in the depths at which artifacts were found. Does the Site II data distribution suggest that there might have been a period of no occupation?
Find all the points of the parabola y^2=8x such that the perpendicular line segment from P to the directrix and the line segment from P to the Focus are two sides of an equilateral triangle.
What similarities and differences do you see between the functions and linear equations? 2) Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer.
Find all the subfield of K containing Q.
ployee's new salary is $20,370 after getting a 5% raise. What was the salary before the increase in pay? Last years salary was $
Solve the following time-distance-velocity problem. Two railroad stations are 830 km apart. The first train leaves Station A at a speed of 80 km/h, bound for Station B. At the same time another train leaves Station A at a speed of 46 km/h, bound..
Let m'(A) = inf sum of |M_i| where i is from 1 to infinity, such that A is a subset of M_i. M_i's are disjoint.
Min Z = 3x1 2x1+x2 >= 6 3x1+2x2 = 4
Consider the k-out-of-n system (info on the system: A system consists of n independent components. Each component functions with probability p
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