ENGR 1405 Engineering Mathematics 1

Faculty of Engineering and Applied Science
2000 Fall

Quiz 2
Question

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Given the matrices A and X₀, given as


        [ 0.5  0.7  0.1 ]          [ 0.8 ]
    A = [ 0.4  0.2  0.6 ] ,   X  = [ 0.2 ]
        [ 0.1  0.1  0.3 ]      0   [ 0.0 ]

1. Determine   X₁ = A X₀.

2. For the matrix
   

           [ u ]
       X = [ v ]
           [ w ]
   

   determine values for   u, v and w such that (A - I) X = 0 and   u + v + w = 1 .

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Created 2000 10 04 and modified 2000 10 04 by Dr. G.H. George

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