MATH221 April 2010
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Question 01 (g)
Then the matrix U is an echelon form for A (you may assume this, you don't have to do the row reduction again.)
Find the dimension of the nullspace of
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1.) The dimension of the null space of is dim(N()) = n(rows) - r(A)(rank of matrix).
2.) The RREF of matrix A is:
Therefore, the rank is 3.
3.) is the transpose of matrix A:
rows from original matrix A = 4 r(A) = 3
3. ) dim(N()) = 4 - 3 = 1
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