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Review questions for the Mid-term Exam

# Review questions for the Mid-term Exam - AK Econ 1548...

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Unformatted text preview: AK Econ 1548 Review QM‘ESHOHS {or the midterm exam _ 1 0 _ r1 6 @Given A: {9 :x, B: E: :9} C— [t 2:] 9 _D_ {L0 3 Answer the following: . Axe AB and BA equal? b Find D C and ( D C a :7 £1 _<_:; [AD ADiandiDAl. Are they equal? 4 _ -r -r i z 4 . lAB‘ landiéAg Arethey equal? 8. Find in c e A i =f. Find (A A) ’ .Given the following supply demand model: Q5 e -2 + 2F, Qd = 18 - 2P, Qd = Q5, answer the following: a; Distinguish the exogenous and endogenous variables in the model. b Represent this three- equation model in a matrix vector format. 6 Solve the model by Cramer's rule eLetA=ila l) ,ﬁnd A; andiAai} a? ind the Jacobian of the following systemieeuations and test for independence: '2. 3+ 2 U=4X +25“? , V=4Y+16X+16 XV -1 ] i l .4 1 l 1 *‘J Mill“ El 1 . Without inverting V, ﬁnd the vector K 2 £1 i Kai (Q Consider the matrix V E " r such that (VK) : l 0 2 53 , .In a two sector inpntoutput model, the following is given: -i . {I .. A}; File? '36? andX = 2’00 i515; LL30? :50 Build the entire input output table including the lower value added Segment. 1 @Given matrix A = [a 12" , find all matrices B that commute with A in Addition and in a "W‘— Multiplication. ...
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