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Question

A matrix ‘B’ is singular if


A

B is invertible

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B

|B| = 0

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C

|B| ≠ 0

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D

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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