Subjects linear algebra

Determinant Singular

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Determinant Singular


1. The problem states to find the determinant value of a singular matrix. 2. A singular matrix is defined as a square matrix that does not have an inverse. 3. A key property is that a matrix is singular if and only if its determinant equals zero. 4. Therefore, the determinant of a singular matrix is exactly zero. 5. This means the matrix cannot be reversed or undone via multiplication by another matrix. Final answer: $$\det(A) = 0$$ for singular matrix $A$.