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
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£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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 Spring '11
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