chiang ch 4 solutions

chiang ch 4 solutions - Ex. 4.4 3. (AB)C = A(BC) = | 250...

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Home work assignments on ch 4 in the text: Econ 1540 Section 4.1 p. 51 1 Section 4.3 p. 65 1 ( a,c,e,g) 3 (b) 5 (a,c) no graphs (note the order of the assignments : 4.1 and 4.3 come before 4.2 as per class material coverage) Section 4.2 p.58 1 (a,c) 3 4 (a,c) Section 4.4 p. 69 1 3 (solution below as it is not in the back of the text) Section 4.5 p. 72 1 (a,c) 3 (a,c) Section 4.6 p. 78 1 4 (solution below as it is not in the back of the text) Solutions to problems in Ch. 4 not in the back of the text
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Unformatted text preview: Ex. 4.4 3. (AB)C = A(BC) = | 250 68| | 75 55 | (a) k(A + B) =k[aij + bij] = [kaij + kbij] = [kaij] + [kbij ] = k[aij] + k [bij] = kA + kB (b) (g + k)A = (g + k)[aij] = [(g + k)aij] = [gaij + kaij ] = [gaij] + [kaij] = g [aij] + k [aij] = gA + kA ======================================= Ex 4.6 4. DF = Identity, thus D and F are inverses of each other EG = Identity, thus E and G are inverses of each other. =======================================...
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