If a matrix is not invertible, can I say the matrix has many solutions? Or is the matrix has many solutions as well as the possibility or no solutions? And so if a matrix is invertible, the system of equations will definitely only have one unique solution?

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Isai Le

11 April, 18:55

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Keyon Fletcher · Answer 1

If a matrix is invertible, there are many solutions to Ax=0, I am referring to both homogeneous and non-homogeneous types.