What is a Nonsingular Matrix?

A matrix is called nonsingular if it has no zero rows or columns. In other words, a matrix is nonsingular if it is invertible, meaning that it has a unique inverse.

A matrix A is nonsingular if and only if the determinant of A is nonzero. The determinant of a matrix is a value that can be computed from the elements of the matrix, and it tells us whether the matrix is invertible or not. If the determinant of A is zero, then A is singular, meaning that it does not have an inverse.

In summary, a nonsingular matrix is a matrix that has no zero rows or columns and has a unique inverse.

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