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Suppose that A and B are n x n matrices such that A = SBS-1 (where S is an invertible matrix), so A and B are similar matrices.
(a) Show: if v is an eigenvector of B with eigenvalue μ, then Sv is an eigenvector for A.(Remember that only nonzero vectors can be eigenvectors.)
What is the corresponding eigenvalue?
(b) Suppose that w is an eigenvector of A with eigenvalue β. Find an eigenvector for B which has the same eigenvalue β.
Solve the equation under radical sign.
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Please show your answer using both words and mathematical notation.
Write a piecewise-defined function that gives the cost C(n) for a museum visitor who is n years old. What is the range of the function?
Solve the expression by complete the square method
It's time to go shopping! You grab your Best Purchase credit card, which has an annual interest rate of 18%. The unpaid balance on your card for the current billing cycle is $285.76.
For the given pynomial function find (A) the degree of the polynomial, (B)all x- intercepts), (c)the y intercept. F(x)=3x+52) Find the equation for any horizontal asymptotes for the function below
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lee is taking some friends on a picnic. theyll need to follow a path to get to the picnic spot. a map of the path is
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Let's say you are a hospital dietician. A patient must have at least 165 milligrams and no more than 330 milligrams of cholesterol per day from a diet of eggs and meat.
Could you please show me how to find the eigenvalues of B^2 + I and (B^2 + 3B - I)^-1 and how would I justify these answers.
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