Math 220 Assignment

October 8, 2001

Due Wednesday, October 10

  1. Which sets of column indices correspond to maximal linearly independent sets of columns in the following matrices?

      (a) 
    (
    18 
    -42
    -15
    35
    		)
    		     (b) 
    (
    3 
    -2
    4
    -1
    5
    2
    5
    -12
    0
    		)
    		     (c) 
    (
    1 
    2
    3
    4
    5
    6
    7
    8
    9
    		)
    		   

  2. Which sets of row indices correspond to maximal linearly independent sets of rows in the following matrices?

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

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

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