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Le the system of linear equations x + 2y + z = 2, x + 3y – z = , x + y + 2z = be inconsistent. Then is equal to:

Option 1 -

5 2

Option 2 -

− 5 2

Option 3 -

7 2

Option 4 -

− 7 2

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • R

    Answered by

    Raj Pandey | Contributor-Level 9

    a month ago
    Correct Option - 4


    Detailed Solution:

    x + 2y + z = 2

    α x + 3 y − z = α

    − α x + y + 2 z = − α

    Δ = | 1 2 1 α 3 − 1 − α 1 2 | = 1 ( 6 + 1 ) − 2 ( 2 α − α ) + 1 ( α + 3 α ) = 7 + 2 a

    α = − 7 2

     

     

     

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