Let 
A= ( 8 6 -2 9 3
9 0 18 9 -9
1 2 -4 1 3
9 5 3 9 1 )

i. Find a basis for the column space of A. 
ii. Expand your basis for the column space to a basis of the entire range of A.
iii. Find a basis for the null space (or kernel) of A.
iv. Find a basis for the domain of A like that given in Theorem 6.8.
(Theorem 6.8: domain, image, and null spaces)( in applied linear algebra: page252 )
v. Write an explicit formula for all solutions to Ax = b, where b = (4 9 -1 4) ᵀ

  • 12 years ago
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