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Unformatted text preview: The same can be shown for T(S). 3) Suppose . Solve for a , b , c and d. This leads to the system ab=8, b+c=1, 3d+c=7 2a4d=6. In matrix form this is which reduces to So a = 5, b = 3, c = 4 and d = 1. 4) Write out the 4×4 matrix A=[ a ij ] that satisfies a ij = i j1 . 5) Find the inverse of the matrix where 0 ≤ θ ≤ 2 π . 6) Let , , , a = 4 and b = 7. Verify the following facts: a. (AB)C = A(BC) (AB)C= = = A(BC)= = = b. (B + C)A = BA + CA (B + C)A = = = BA + CA = = = c. ( a C) T = a (C T ) ( a C) T = = = a (C T ) = = = d. a ( b C) = ( ab )C a ( b C) = = = ( ab )C = = = e. (AB) T = B T A T (AB) T = = = B T A T = = =...
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 Spring '11
 Burns
 Linear Algebra, Derivative, Linear map, Linear function

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