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Question: In Exercises, find a basis and the dimension of the given subspace S.
Exercise: 1. The subspace S of vectors in R5 of the form (x1, x2, x3, x4, x5) with x1 = x2 = 2x3.
2. The subspace S of vectors in R6 of the form (x1, x2, x3, x4, x5, x6) with x1 = 2x2 and x3 = -x4.
Let A be a finite set with subsets A1, ..., An, and let d1, Find a bipartite graph with a set of preferences such that no matching of maximum size is stable and no stable matching has maximum size.
Calculation of a Laplace Transform from first principles
according to a financial monthly disability causes 48 of all mortgage foreclosures.nbsp given that 20 foreclosures were
differential equations1 compute y and y and then combine these derivatives with y as a linear second-order differential
Show, by induction, that a polygon formed by n arbitrarily chosen points on a circle has exactly n edges.
If each ton of rock costs $70, each plant is $20, and each tree is $74, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve.
The matrix A only has one eigenvalue. Find it and and an eigenvector of A. Find a generalized eigenvector of A
Explain why A can be row reduced to U using only replacement operations.
a rectangular porch is 6 feet long by 9 feet wide. how many feet of fencing are needed to enclose the porch.
If only the eight fastest runners advance to the Olympics; how many different ways can the eight fastest runners be chosen from the whole field of 28 runners?
Prove that the sum of two even numbers n1 and n2 is also even.
It cost Marci 20 cents to mail a postcard and 33 cents to mail a letter. She sent either a postcard or a letter to each of 18 people and spent $4.38 total.
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