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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 | + | 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 11:12, 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.