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imotive
 4 years ago
1 3 2
A= 3 9 6
3 9 6
.
Find a basis of A.
imotive
 4 years ago
1 3 2 A= 3 9 6 3 9 6 . Find a basis of A.

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abtrehearn
 4 years ago
Best ResponseYou've already chosen the best response.1If you divide the first row by 1, the second row by 3, and the third row by 3, we reduce matrix A to 1 3 2 1 3 2 1 3 3. Its rowechelon form is 1 3 2 0 0 0 0 0 0. Therefore, a basis for the onedimensional vector space that is the image of the transformation A from R^3 to R is the column vector [1, 3, 2]^T.

imotive
 4 years ago
Best ResponseYou've already chosen the best response.0WHAT IF WE ARE TRYING TO FIND THE BASIS OF NULLSPACE(A) ? :D

Alchemista
 4 years ago
Best ResponseYou've already chosen the best response.0Finding a basis for the nullspace is equivalent to solving a system of equations. Ax = 0 find the set of all x that satisfies it.
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