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Find the Eigen Values ( or Characteristic roots ) and Eigen Vectors ( or Characteristic vectors ) of the following matrix and give the Matrix
Solve each absolute value inequality and graph the solution set. Graph each compound or absolute value inequality.
Mappings, Homomorphisms and Subgroups.Let @:G-->H be a homomorphism of G onto H, and let N be a normal subgroup of G.
Index of subgroup and coset of subgroup.Explain what the index of a subgroup and a coset of a group are.
Determine the slope-intercept form of the equation and provide one additional point on this line, and graph the function.
Predicted sales of a company.Find the predicted sales in the year 2002 assuming the trend continues.
Using Matrix Inverses to Solve Systems of Linear Equations.Use it to solve the following system of equations:
Systems of Linear Equations Word Problems.Leon drove 270 to the lodge in the same time as Pat drove 330 miles to the lodge
Also remember x is an exponent and we have to take logarithmic of both sides to bring the exponent down.
Linearly dependent vectors.General Vector Spaces - Linear Independence
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) .
Solving system of linear equations and linear inequalities.Determine which two equations represent perpendicular lines.
A cylinder has a radius of 5 in. If the volme of the cylinder is 250p in.3, what is the height of the cylinder?
An automobile travels 225 miles in the same time in which a small plane travels 650 miles. Find their speeds if the airplane is 85 mi/hr .
One-half of the boys and one-third of the girls of a High School attended the homecoming game, whereas one-third of the boys.
Using matrix to solve linear system of equations.Find the equation of the line shown:
A washer and dryer cost $706. the washer cost 56 dollars more than the dryer. What was the cost of the dryer?
You plot revenue as a function of time. You do not want to just know what has happened in the past, you want to create a model.
Using the difference quotient, find the change in the wage from where age=30 to where age=40.
The point on the x-axis that is equidistant (equal distance)from (10,4) and (6,2).
For every big cat there are 7 little cats -Question: How many legs are there in the bus?
Write in descending-exponent form, and give the degree. x5 + 9x7 - 1 . Find the value of the polynomial 6x - 1 when x = 3 and when x = -3.
Dependency Equation and Feasibility Analysis.The Volta Battery Company manufactures AA, A. C, and D batteries in each of four plants.
Use the result in Exercise 10 to show that the set of points (x, y, z) in R3 for which the matrix
Factor each polynomial completely, given that the binomial following it is a factor of the polynomial. x3 + 2x2 - 5x - 6 , x + 3