MATH307 April 2013
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Question Section 202 05 (b)
Suppose that A is the following 3 x 4 with
(b) Find a basis for N(A).
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To do this, we identify and being free variables.
And use the equation A = where = [ ]
hence forming the following equations from the rref(A)
= - -
therefore = = +
If we let = = 1 for example, then
N(A) =span( , )