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Prove that the following matrix are sing...

Prove that the following matrix are singular:
`[(3,2,1),(0,4,5),(3,6,6)]`

Answer

Step by step text solution for Prove that the following matrix are singular: [(3,2,1),(0,4,5),(3,6,6)] by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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|{:(1,2,3),(4,5,6),(3,2,2):}|

|{:(2,3,4),(3,4,5),(4,5,6):}|=0

Knowledge Check

  • The minors of (-4) and 9 and the cofactors of (-4) and 9 in matrix [(-1,-2,3),(-4,-5,-6),(-7,8,9)] are respectively -

    A
    `42,3,-42,3`
    B
    `-42,-3,42,-3`
    C
    `42,3,-42,-3`
    D
    `42,3,42,3`

    • Similar Questions

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    Find the matrix X so that X[(1,2,3),(4,5,6)]=[(-7,-8,-9),(2,4,6)]

    |{:(1,3,5),(2,4,3),(4,6,7):}|

    |{:(2,3,4),(5,6,1),(3,2,3):}|

    Find the mode of the following numbers : 3,4,5,2,3,4,1,6,4

    Find the mode of the following numbers : 4,3,2,5,4,5,3,7,3,2,6

    Find the mode of the following data. 2,2,2,3,3,3,4,4,4,5,5,5,6,6,6.

    Using elementary row operations show that inverse of the matrix (i) [(-3,2),(6,-4)] does not exist, (ii) [(3,2,1),(0,4,5),(3,6,6)] does not exist

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