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Condition for a linear subspace E of R^n to be A-invariant.The exercise is as follows:
Hyperbolic and non-hyperbolic equilibrium points.Please solve the following problem;
If f(x)=x^7-2 and K is its splitting field over Q, determine the degree of [K:Q], describe K explicitly using a primitive element.
Finding the general solution of a linear system.Please solve the following ODE problem and show the step by step method:
An Airconditioning systemcan circulate 280 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
How to find generalized eigenvectors.Difficulties understanding an easy method to find the generalized eigenvectors of a nilpotent matrix.
Find the slope-intercept equation of the line with the following properties: Perpendicular to the line X=8 ; containing the point (-6,0).
How much water (how many liters) will Jill need to add to her pool to return the water level to its original depth?
Fundamental Mathematics: Rotation & Reflection.We use matrices, eigenvalues and eigenvectors to solve the following:
In my favorite shopping mall downtown there is a specialty shop that's bound to please anybody's sweet tooth.
A packaging design team has determined that a cost-efficient way of manufacturing cylindrical containers for their products is to have the volume.
Polynomials - Horner's Method, etc.Given a polynomial P(x) and a point xo, what 2 things does Horner's method give us?
Simplex Method and Gauss-Jordan elimination method.Using the simplex method, solve the following linear programming equation:
Symmetric Matrix with Positive Eigenvalues. Suppose that both eigenvalues of a 2 x 2 symmetric matrix B are positive.
If only the eight fastest runners advance to the Olympics; how many different ways can the eight fastest runners be chosen from the whole field of 30 runners?
Eigenvalues for a matrix A satisfying A2=-A. Let A be an nxn matrix such that A2=-A. Then the possible values of the eigenvalues of A are
In regards to the Western context, is there a point at which the level of inequality becomes so great that it is detrimental for individuals trying to improve.
Solve the inequality 12 + x= 2x - 2 and show all of your work. You can use <= to represent the less than or equal to symbol.
Let v and w be vectors if ||v|| = 2 and ||w|| = 3 what are the smallest and largest values possible for ||V - W||?
Compute the Eigenvalues of the Matrix.Find the solution to x' = Ax by multiplying y by the appropriate matrix.
Suppose $1000000.00 will be recieved after 25 years. Find the value 5 years from now (t=5), V(5), assuming continuous compounding at the rate.
Mixed Linear Algebra Problems.Solve the equation. Round answers to three decimal places:
What are the similarities and differences between the procedures needed to solve each of the following problems?
The first most important part about solving absolute value inequalities is to understand that there are two types of inequalities. These are |ax+b|
Find the equation in standard form of the straight line that passes through the point midway between (-7, -12) and (-5, 2) and has a slope of 3.