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Matrix \begin{bmatrix}\lambda&- 1 &4 \\ -3& 0&1\\-1&1&2 \end{bmatrix}   is not invertible if

  • Option 1)

    \lambda = -15

  • Option 2)

    \lambda= -17

  • Option 3)

    \lambda=-16

  • Option 4)

    \lambda= -18

 

Answers (1)

best_answer

As we learnt in 

Singular matrix -

\left | A \right |=0 

- wherein

\left | A \right | denotes determinants of A

 

 A matrix is not invertible if determinant=0

\\ \lambda \left ( 0-1 \right )+1\left ( -6+1 \right )+4\left (-3 \right )=0\\*\\*-\lambda-5-12=0\\*\\*\lambda=-17


Option 1)

\lambda = -15

Incorrect

Option 2)

\lambda= -17

Correct

Option 3)

\lambda=-16

Incorrect

Option 4)

\lambda= -18

Incorrect

Posted by

Aadil

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