Am I correct that if a matrix \(\displaystyle A_{m ~X~ n} \) (m < n) and its rank is m. Since it has some free variables. By definition the matrix A is

Please review the following matrix A

1.000 -1.000 1.000 5.000

-2.000 3.000 1.000 2.000

3.000 4.000 -2.000 3.000

My program keeps telling me A is a

However, according to the above definition, the matrix A contains free variables and therefore it must be

So... is A linear dependence or independence?

**linear dependence**.Please review the following matrix A

1.000 -1.000 1.000 5.000

-2.000 3.000 1.000 2.000

3.000 4.000 -2.000 3.000

My program keeps telling me A is a

**row linear independence**matrix, which appears to make sense because each row is not a combination of the others.However, according to the above definition, the matrix A contains free variables and therefore it must be

**linear dependence**.So... is A linear dependence or independence?

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