Math 220 Assignment

August 29, 2001

Assignment for Friday, August 31

  1. Let M be the matrix

     M  =  
    (
    1 
    -1
    1
    5
    -4
    3
    3
    -3
    2
    		)
    		  .  
    Solve the system of linear equations
     M 
    (
    x 
    y
    z
    		)
    		  =  b 
    when b is:
     (a)  
    (
    1 
    0
    0
    		)
    		    (b)  
    (
    0 
    1
    0
    		)
    		     (c)  
    (
    0 
    0
    1
    		)
    		    (d)  
    (
    2 
    -3
    1
    		)
    		   .  
    Suggestion: Review the solution of the first exercise on the last assignment.

  2. Let N be the matrix

     N  =  
    (
    1 
    -2
    1
    5
    -4
    3
    3
    -3
    2
    		)
    		  .  
    Find all solutions of the system of linear equations
     N 
    (
    x 
    y
    z
    		)
    		  =  b 
    when b is:
     (a)  
    (
    1 
    0
    0
    		)
    		    (b)  
    (
    0 
    1
    0
    		)
    		     (c)  
    (
    1 
    1
    1
    		)
    		  .  
    Note: Things become very different with the change of a single matrix entry between the matrix M of the first exercise and the present matrix N.

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