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Suppose memory or size restrictions prevent a matrix program from working with matrices having more than 32 rows and 32 columns, and suppose some project involves 50 X 50 matrices A and B. Describe the commands or operations of the matrix program that accomplish the following tasks.
a. Compute A + B.
b. Compute AB
c. Solve Ax = b for some vector b in R50, assuming that A can be partitioned into a 2 X 2 block matrix [Aij], with A11 an invertible 20 X 20 matrix, A22 an invertible 30 X 30 matrix, and A12 a zero matrix.
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 1 foot less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 3..
Let B = { 1,x,ex,xex} be a basis of a subspace W of the space of continuous functions, and let Dx be the differential operator on W. Find the matrix Dx relative to the basis B.
A passenger train takes 2 hours less than a freight train takes to travel from Norman to Enid. The passenger train averages 96 km/hr, while the freight train averages 64 km/hr. What is the distance from Norman to Enid?
What was the smallest possible number of people? What are all possible numbers of people?
Find fourier series of f(x)=4, x greater than -3 and less than 3. Find fourier series of f(x) = x^2-x+3, x greater than -2 and less than 2
Use composition to show whether or not the given function are inverses.
write all solutions to this equation as a general superposition of a pair of vectors v1 and v2.
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square.
Determine maximum height of the hall using the formula for sy and your result from the previous part. Determine the time at which the ball would have hit the ground, if it were not interrupted by the sign or another obstruction.
Let G be a group of order n and suppose that G has 2^(n-1) subgroups. Show that G = or G is isomorphic to Z2 . You may use the fact that a set of k elements has 2^k subsets.
What are the odds against the series going a full seven games
a shopkeeper buys some books for rs-80. if he had bought 4 more books for the same amount each book would have cost
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