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Suppose that A is a square matrix, and that the only eigenvectors of A are scalar multiples of the vector: Deduce as much information as you can about A, by answering the following questions. Give reasons for your answers.
(a) What size is A?
(b) How many eigenvalues does A have? Can you tell what the eigenvalues are?
(c) What can you tell about the algebraic and geometric multiplicities?
(d) Can you tell whether or not A is diagonalizable?
Complete the square and sketch a graph of the following ellipse. Give the coordinates of the centre and the four vertices. What is the length of the major axis?
what is the algebraic expression for the following word phrase
Find and matches the given linear equation.
Let a subset A of the real numbers R be co-countable provided that R - A is countable. Show that the set of all countable and co-countable subsets of R is a sigma- algebra.
For each question, be sure to show all your work details for full credit.Round all value answers to three decimal places. Showthe graph. Show the calculation details. Provide research values and apply critical thinking to answer this question. Show t..
Factor of the given polynomial
it takes 70 inches of ribbon to make a bow and wrap the ribbon around the box.the bow takes 32 inches of ribbon. the
Based on the fundamental theorem of algebra, how many solutions would the following equation have:
Estimate the annual membership fee that maximizes profit. Mark this point on your graph. Explain why the graph of the revenue function has the shape it does.
find a polynomial of degree 5 with real coefficients and i as a root of multiplicity 2 and the square root of 5 as a
Let f: A → B and g: C → D. Define f x g = {((a, c), (b, d)): (a, b) ∈ f and (c, d) ∈ g}. Prove that fxg:AxC → BxD. For (a, c) ∈ A x C, find an explicit expression for (f x g)(a, c).
find the range of the function for the given domain. fx2x4-2 -1 0
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