Let G1 And G2 Be The Marginal Propensity To Spend Of Governments In Economies1 A

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 Let g1 and g2 be the marginal propensity to spend of governments in economies1 and 2 respectively. g1>0, g2<0. Economy 1 employs a lump-sum tax system while economy 2 employs a proportional tax system. If the marginal propensity to consume and to import is identical in both economies, the multiplier of economy 1will be greater than the multiplier of economy 2. True or false, explain.

We have here two economies with the following multipliers: For the multiplier of economy 1 to be greater than the multiplier of economy 2, thedenominator of 2 must be greater than the denominator…

 
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Let Gn Is N 3 16 4 Let W 5 7 10 12 15 18 20 And M 35 Find All Possible Subsets O

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let gn is (n3). [16]4. Let w = 5,7,10,12,15,18,20 and m=35. Find all possible subsets of w that sum tom. Do this using Sum-of-subsets algorithm. Clearly state the bounding functionsused in the algorithm by state space tree

 
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Let H Be The Hemisphere X2 Y2 21 54 Z 2 O And Suppose Fis A Continuous Function

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calc 3 question. chapter 16.7 number 3calc 3 question. chapter 16.7 number 3

Let H be the hemisphere x2 + y2 + 21 = 54, z 2 o, and suppose fis a continuous function with {(2, 5, 5) = 9, {(2, -5, 5) = 10, ri—z, 5, 5) = 12, and rt-z, —5, 5) = 15. By dividing H into four patches, estimate thevalue below. (Round your answer to the nearest whole number.) // RX.y.Z)d5H :l 3:Need Help? ii WWi

 
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Let H R Gt R Be A Continuously Differentiable Function With Mo 0 And Consider Th

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5. Let h : R —&gt; R be a continuously differentiable function with MO) : 0, and considerthe following system of equations: 693 + My) = U2,ey — Mac) : v2. Show that there exists a neighborhood V C R2 of (1,1) such that for each (aw) E Vthere is a solution (3:, y) E R2 to this system.

 
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Let I Be An Ideal Of A Commutative Ring R With Unity If I Is A Prime Ideal Show

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Let I be an ideal of a commutative ring R with unity. If I is a prime ideal,show that I[x] is a prime ideal of R[x]. Give an example of a commutative ring with unity and a maximal ideal I of R such that I[x] is not a maximal ideal of R[x].

 
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Let I I Denote A Pair Of Uncorrelated Zero Mean 2 I Random Vectors Having Cova

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Let Y,W denote a pair of uncorrelated, zero-mean(2*1) random vectors having covariance matrix I2

Let I&quot; I`’ denote a pair of uncorrelated , zero – mean | 2* I | random vectors having covariance matrix 1 7 . LetZ = GF + W!where6 = [ 1 1 ]( a ) Determine the LMMISE estimate !&quot; of I’ given I as well as the associated mean – square EllumI bj State the orthogonality principle as it applies in this setting*

 
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Let L A And M Hx I Be Two Linear Mapping S A Prove That Rangel L O M Range The

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Can anyone help me with this question please? The question 3 a) in assignment 6 is in the picture below.

Thank you so much!

  • Attachment 1
  • Attachment 2

3. Let L . A&quot; ~ {‘ and M. HX _ I’ be two linear mapping’s( a ) Prove that Rangel L o M { Range [ ] . Then , conclude that Rank [ [ O AI &lt; Rank [ [ ) (using Question Bla) ofAssignment 6 ).( b ) Prove that Mulling = NullIL – MI) . Conclude that Nullitying = Nullity [ [ O MJ (using Question 3 ( a) ofAssignment 6 ) . Then , using the Rank – Nullity theorem , conclude that Rank ! [ . MY = Ranking .( C ) Conclude that Rank [ [ O MY = min / Rank [ [ ) , Rank[ My] .(d ) Conclude that for an m* n matrix A and an n* * matrix B , we always have** COLLAB ) = COLLAY ;* Null( B ) = NullL ABY ; and* Rank ! ABY = min ( Rank[ A] , Rank [ BY] .Give an example for matrices A and B such that Rank [ AB ) = min ( Rank [ A ] , Rank [ BY] , and an example*for matrices C and D such that Rank ! (D ) &lt; min ( Rank![ ] , Rank [ D ]1 .

 
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Let L Be A Set In Three Dimensional Space And Let Lil I Be Equal To The Volume

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Please help me solve those questions, the questions are shown in the attachments (6, 7, 8)

  • Attachment 1
  • Attachment 2

5. LET L be a set in three – dimensional space and let LIL’I be equal to the Volume of’ `. if I has finite*volume . otherwise , let !It’s be undefined . Find Fizi .7 . For every one – dimensional set !’ for which the integral exists . Citi = To fluid , where flaj -Gril – Il, O _ _ _ I, zero elsewhere ; otherwise , let fic&quot;; he undefined . Find Dic&quot;).16 ) [ 2 = 1 1 / 2) .8. Suppose the experiment is to choose a real number at random in the interval 10 . 1 1 . For any subinterval` , ` ) CID, I), it seems reasonable to assign the probablybability ?&quot; [`, “] = 6 – a; Le, the probability ofselectin the point from the subinterval is directly proportional to the length of the subinterval . If thisis the case . choose an appropriate sequence of subintervals to shoe that Fall = &quot; For all at 10. 1] .Hint : let It be a decreasing sequence of events , as in Question ? , then lim ,_ ta Pie! ! =Pllimn_ too Caj = Pill _; Cal

 
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Let L Be An N N Elementary Unit Lower Triangular Matrix That Is L Has 1 S On The

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Let L be an n × n elementary unit lower triangular matrix, that is, L has 1’s on the maindiagonal, and zeros in all other positions except column k. The nonzero entries in column kappear in positions k to n (and the (k, k) entry is, as already mentioned, equal to 1). Assumethe following equation holds,P1*P2 · · · Pq*L = M*P1*P2 · · · Pq,where each Pi, i = 1, . . . q is a permutation matrix that encodes an exchange between rows liand mi, such that k + 1 <= li <= n and k + 1 <= mi <= n, and M is some other n × n matrix.Show that if the above equation holds, then M must also be an elementary lower triangularmatrix all of whose nonzero entries are either 1’s on the diagonal or lie in positions k to n ofcolumn k. Furthermore, show that the entries of column k of M must be precisely the entriesof column k of L after the q swaps given by Pq, . . . , P1 are applied to this column. In otherwords, show thatM(:, k) = P1 · · · PqL(:, k).Hint: Let Q = P1 *P2 · · · Pq. Write Q in block-matrix form, with two diagonal blocks of size k×kand (n − k) × (n − k) respectively and corresponding off-diagonal block. The first diagonalblock is known in closed form. Why? The two off-diagonal blocks are also known in closedform. Why? Use block matrix-multiplication to separately evaluate columns 1 : k and alsocolumns k + 1 : n of the left-hand side Q*L and the right-hand side M*Q and determine theform of M.

 
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Let L Ir N Rightarrow Ir M Be A Linear Mapping What Can We Say About The Injecti

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Let L: IRn IRm be a linear mapping. What can we say about the injectivity, the surjectivity, & the bijectivity of L if:

a) n > m

b) n = m

c) n < m

Also, give a simple example for each case.

 
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