Math 220 Assignment

October 10, 2001

Due Friday, October 12

  1. For each of the following 4 \times 4 matrices find non-redundant sets of linear equations that characterize the set of all linear combinations of the columns of the given matrix as a subset of R^{4}.

    1.  
      (
      1 
      2
      -4
      7
      -2
      -1
      -1
      -8
      5
      7
      -11
      29
      -1
      -4
      -14
      5
      		)
      		 

    2.  
      (
      1 
      2
      -4
      7
      -2
      -1
      -1
      -8
      5
      7
      -11
      29
      -3
      -6
      12
      -21
      		)
      		 

    3.  
      (
      1 
      2
      -4
      7
      -2
      -1
      -1
      -8
      5
      7
      -11
      29
      -1
      -4
      -14
      0
      		)
      		 

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