Home › CBSE Class 12 › Mathematics › Determinants › A square matrix is invertible if and only if it …
A square matrix is invertible if and only if it is:
ASingular one
BRectangular a
CDiagonal one
DNon-singular
Answer & Solution
Correct answer: D. Non-singular
1. An inverse exists only when the determinant is non-zero.
2. That is exactly the non-singular condition.
3. So a matrix is invertible if and only if it is non-singular.
4. The answer is non-singular.
_Source: NCERT Class 12 Mathematics, Ch 4 'Determinants'_
Related questions
Determinants take each square matrix to exactly how many values?The adjoint of a matrix is assembled out of its:Which of these is worked out first, before the cofactor?The signed minor of an element is written using which letter:The determinant of a matrix may be a number that is:A matrix that is not square has a determinant that is:Determinants can solve systems in two or three:Systems of linear equations can be solved using the inverse of a: