A matrix - B - is singular ifA- B is invertibleB- - B -0C- - B - - 0D- An inverse of B doesn-t exist

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Singular and Non Singualar Matrices

A matrix ' B ...

Question

A matrix ‘B’ is singular if

B is invertible

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|B| = 0

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|B| ≠ 0

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An inverse of B doesn’t exist

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Solution

The correct options are
B
|B| = 0

D
An inverse of B doesn’t exist

By definition a square matrix that doesn’t have a matrix inverse is called a singular matrix. For such a matrix the determinant will be 0 and for other matrices whose determinants are not equal to zero are called non singular matrices.

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