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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. |
− | 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 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. |
Revision as of 11:11, 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.