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Find any matrix function A(t) such that the exponential function
exp(integral from 0 to t fo A(x) ds) is not a matrix solution of the system x' = A(t)x. However, show that the given exponential formula is a solution in the scalar case (A(t) in R), and dene when it is a solution in the matrix valued case (A(t) in R^nn).
You want to create a mileage grid showing the distance between every pair of the 50 U.S. state capitals. How many numbers will you have to compute?
q. the carleton computer science society has a board of directors consisting of one president one vice-president one
the length of a rectangle is 4 less than twice the width. The are of the rectangle is 70. Find the dimensions of the rectangle.
What is the arc length of a sector a circle with a central angle of π/7 radians and a radius of 12 inches? Round answer, 2 de. Places.
Plot the function and find the Laplace transform of a periodic function with a period T = 2a, definedasf(t) = t(H(t) - H(t - a)) + (2a - t)(H(t - a) - H(t - 2a)) t ∈ [0, 2a)Here a is a positive real number
Suppose A & B are Hermitian matrices and AB=BA, show that A and B are simultaneously diagonalizable, ie, there exists an unitary matrix C so that both C*AC adn C*BC are diagonal.
Prove that there exist real numbers which are not algebraic.
What will the area and perimeter of the new rectangle be?
Solve the following equation . Determine whether the equation is an identity conditional equation, or an inconsistent equation; 7(x - 4) = x + 2
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $288 in interest after 3 years. How much money should he deposit?
an experiment consists of 4 tosses of a coin.denoting the outcomes HHTH,THTT,and assuming that all 16 outcomes are equally likely, find the probability distribution for the total number of heads.
A computer manufacturer assigns serial numbers to its computers. The first symbol of a serial number is either A, B, or C, indicating the manufacturing plant. The second and third symbols taken together are one of the numbers 01, 02,...,12, indica..
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