Question: How do I tell if the columns of A form a basis of R^5 and based on that how do I see if the matrix A is invertible using maple?

How do I tell if the columns of A form a basis of R^5 using maple? And based on that how do I see if the matrix A is invertible using maple?

 

Let

A =

[ 3 1 4 1 5 9 ]

[ 2 6 5 3 5 8 ]

[ 9 7 9 3 2 3 ]

[ 8 4 6 2 6 4 ]

[ 3 3 8 3 2 7 ]

 

I know the answers to them but I just don't know how to solve them using maple. Please help..

Thank you

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