Web8 With respect to the origin O, the points Aand Bhave position vectors given by −−¿ OA= ` 1 2 1 a and −−¿ OB= ` 3 1 −2 a. The line lhas equation r= ` 2 3 1 a +, ` 1 −2 1 a. (a) Find the acute angle between the directions of ABand l. [4] WebAnswer: Notice that, since A = SΛS−1, we also have that 2A = S(2Λ)S−1 is a diagonaliza-tion of 2A. Then it’s straightforward to check that B = A 0 0 2A = S 0 0 S Λ 0 0 2Λ S−1 0 0 S−1 . Since both Λ and 2Λ are diagonal, this gives a diagonalization of B. Hence, the eigenvalue matrix is Λ 0 0 2Λ and the eigenvector matrix is S 0 ...
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WebUse your answer to part (b) to solve for tax revenue as a function of T. Graph this relationship for T between 0 and 300. this relationship for T between 0 and 300. d. The deadweight loss of a tax is the area of the triangle between the supply and demand curves. Recalling that the area of a triangle is Webd/m in terms of g, P, r,andρ. (b) Is atmospheric drag more significant for big meteors or for small ones? Explain your answer. (c) Assuming the meteor has the density of iron (ρ ! 8000kgm−3), and that it falls vertically through the Earth’s atmosphere (P ! 1.0×105 kgm−1 s−2), evaluate the critical radius r for ameteorwhichyieldsm d = m. mvp signal flight numbers
Suppose P is invertible and A=PBP^(-1). Solve for B in terms of A ...
WebSuppose A and B are n × n; B is invertible, and AB is invertible. Show that A is invertible. [Hint: Let C = AB; and solve this equation for A.] linear algebra. Let A be an invertible n \times n … Weba) let . construct a 2x2 matrix B such that AB is the zero matrix. use two different nonzero columns for B. (operation) b) suppose P is invertible and . solve for B in term of A. c) Use matrix algebra to show that if A is invertible and D satisfies... In Exercises 83–88, determine whether each statement is true or false. Web(5 points) Suppose that A and B are square matrices such that there exists an invertible matrix P such that A = PBP −1. Show that det(A) = det(B). Previous question Next question This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer Get more help from Chegg how to opt out of websites