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Unformatted text preview: So and (b) The corresponding matrix equation is:
[
[ ] This system has a unique solution iff
 [ . Hence:  which holds for . Using Cramer’s Rule: . So and (c) The corresponding matrix equation is:
[
This system has a unique solution iff
 
[ ] . Hence:
which holds for . Using Cramer’s Rule:

 
  and    . So     Problem 5.
is in kernel of matrix
[ (a) { . {
} also is not injective because { } [ The dimension of darnel of [ ] which are not
for example
[ ] {

is 2 (the set of basis for as a transformation is not surjective because
covered by
[ [ such as [ ] [ ]. [ [ as a transformation is not surjective because
covered by (c) } {

is a line so the dimension is one....
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This note was uploaded on 02/13/2014 for the course CS 132 taught by Professor Kfoury during the Fall '13 term at BU.
 Fall '13
 KFOURY
 Algorithms

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