(1 point) Find the set of solutions for the linear systenm 52937 Use s1, s2, etc....
1, (20%) Given sample spaces S1 (discrete) and S2 (Continuous), find all the possible values for the following random variables X: a. S1 X-2s2-2 X-(1-s) -1 3 b. -1ss56) S2 X=23.2 X-(1-s)1
(1 point) Consider the linear system "(-1: 1) y. a. Find the eigenvalues and eigenvectors for the coefficient matrix. 1 v1 = and 2 V2 b. For each eigenpair in the previous part, form a solution of y' = Ay. Use t as the independent variable in your answers. (t) = and yz(t) c. Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions? Choose
Let S1 = { 1, 2, 3 }, S2 = { a, b }, S3 = { 4, 5, 6 }. Show a B-tree of minimum degree t = 3 that contains the 18 tuple keys in S1 × S2 × S3, ordered by the linear order defined in (a). Assume that a <2 b in S2. please show the 18 tuple at first which is a cartesian product of s1,s2 and s3 and insert them into a B tree...
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Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use S1, S2, and s3, respectively, for the vectors in the set.) S = {(3, 4), (-1, 1), (2, 0)} (0,0) = Express the vector si in the set as a linear combination of the vectors S2 and 53. $1 =
(1 point) Consider the linear system a. Find the eigenvalues and eigenvectors for the coefficient matrix. , and 12 = -:| b. For each eigenpair in the previous part, form a solution of ý' = Ay. Use t as the independent variable in your answers. ý (t) = and yz(t) = c. Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions? Choose
2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficients.
2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficients.
Find a description of the solution set of each system of linear equations below by car rying out the following steps. (i) Use Gaussian elimination to find the solution set S as you did in Chapter 1. (ii) Find a point Q and a set of points B:- (Pi. P2... so that S-Q+Span IB. (iii) show that B is a basis for L :--Span B. what is the dimension of the space L? (iv) Describe S as looking like either...
Use the following information: Percentage Service Provided to Department Cost S1 S2 P1 P2 Service 1 (S1) $115,000 0% 25% 30% 45% Service 2 (S2) $47,000 20 0 20 60 Production 1 (P1) $375,000 Production 2 (P2) $246,000 Total $783,000 Question: What percentage of S1’s costs is allocated to P1 and to P2 under the direct method?
Use the following information: Percentage Service Provided to Department Cost S1 S2 P1 P2 Service 1 (S1) $ 115,000 0 % 25 % 30 % 45 % Service 2 (S2) 47,000 20 0 20 60 Production 1 (P1) 375,000 Production 2 (P2) 246,000 Total $ 783,000 QUESTION: What percentage of S2’s costs is allocated to P1 and to P2 under the direct method?
Find the first six partial sums S1, S2. S3, S4, S5, S. of the sequence. 1 1 1 1 3° 32' 33 34 3 Give your answers as fractions. S, = S2 S3 = S4= Ss = So