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Question 10 50 pts The augmented matrix below has been reached after applying Gauss-Jordan elimination. 1 -2 9 6 3 0 0 0 0 0
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Answer #1

There are three free variables and one dependent variable.

Solution:

The number of the free variable is equal to the dimension of nullity and the number of the dependent variables is equal to rank of the matrix.

In given matrix is rank is 1 (Number of the non-zeros rows)

rank+nullity=n(number of columns in matrix A, not augmented matrix)

nullity is =4-1=3

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