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MAT 272 Assignment 3

# MAT 272 Assignment 3 - 3 Suppose Solve for a b c and d 4...

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MAT 272 Assignment #3 Due: October 6, 2009 1) Plot the four vertices of the unit square ((0,0), (1,0), (0,1), (1,1)) and also plot the images of the four vertices using the following transformations T( x ) = A x on . Describe the effect of each one. a. A= b. A= c. A= d. A= 2) Suppose S and T are both linear transformations from to . Show that the compositions S(T( x )) and T(S( x )) are also linear transformations.
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Unformatted text preview: 3) Suppose . Solve for a , b , c and d. 4) Write out the 4×4 matrix A=[ a ij ] that satisfies a ij = i j-1 . 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) b. (B + C)A = BA + CA c. ( a C) T = a (C T ) d. a ( b C) = ( ab )C e. (AB) T = B T A T...
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