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The matrix below is nonsingular. what can you now say about its columns? [[-3,0,1],[1,2,1],[5,1,6]]
You can say that the columns of the matrix are linearly independent.
A non-singular square matrix has a non-zero determinant, and this is equivalent to having linearly independent columns [1]. In other words, the columns cannot be written as a linear combination of each other.
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