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3.1.23                        T is invertible. From summary 3.1.8'''
+
3.1.23                        '''T is invertible. From summary 3.1.8''''''
  
  
3.1.34      
+
3.1.34 To describe a subset of R3 as a kernel means to describe it as an intersection of planes.  
                    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.
+
 
'''
 
'''

Latest revision as of 11:13, 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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