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+
'''
 
3.1.10        just solving the system of Ax=0. then can get the kernel of A.  
 
3.1.10        just solving the system of Ax=0. then can get the kernel of A.  
  
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3.1.34       To describe a subset of R3 as a kernel means to describe it as an intersection of planes.  
+
3.1.34      
 +
                    To describe a subset of R3 as a kernel means to describe it as an intersection of planes.  
 
                     By inspection, the given line is the intersection of the planes
 
                     By inspection, the given line is the intersection of the planes
 
                     x+y = 0 and  
 
                     x+y = 0 and  
 
                     2x+z = 0.
 
                     2x+z = 0.
 
                     Then this means the kernel of the linear transformation T.
 
                     Then this means the kernel of the linear transformation T.
 +
'''

Revision as of 12:12, 8 December 2010

hw hints from wang499



3.1.10 just solving the system of Ax=0. then can get the kernel of A.


3.1.23 T is invertible. From summary 3.1.8


3.1.34

                   To describe a subset of R3 as a kernel means to describe it as an intersection of planes. 
                   By inspection, the given line is the intersection of the planes
                   x+y = 0 and 
                   2x+z = 0.
                   Then this means the kernel of the linear transformation T.

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