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Every invertible matrix possesses a uniq...

Every invertible matrix possesses a unique inverse.

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For a given square matrix A ,if there exists a matrix B such that AB=BA=1 then B is called inverse of A Every non - singular square matrix possesses inverse and it exists if |A|!=0,A^(-1)=(adj(A))/(det(A))rArr adjA=|A|(A^(-1)) Let a matrix A= [[2,3],[1,2]] then A^(-1) will be

" For a given square matrix "A" ,if there exists a matrix "B" such that "AB=BA= I "then "B" is called inverse of "A" Every non - singular square matrix possesses inverse and it exists if" |A|!=0,A^(-1)=(adj(A))/(det(A))rArr adjA=|A|(A^(-1))"Let a matrix "quad A=[[2,3],[1,2]]" then" A^(-1)" will be "

Knowledge Check

  • Mitochondrial matrix possesses

    A
    Enzymes of Krebs cycle and protein synthesis
    B
    Formation of Leucocytes
    C
    Enzyme of Calvin cycle
    D
    none of these
  • Mitochondrial matrix possesses :-

    A
    Enzymes of Krebs cycle and protein synthesis
    B
    Formation of Leucocytes
    C
    Enzyme of Calvin cycle
    D
    None of these
  • Among the invertebrates, arthropods are unique in possessing

    A
    a notochord
    B
    ventral nerve cords
    C
    open circulation
    D
    jointed appendages
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    Explore conceptually related problems

    For a given square matrix A ,if there exists a matrix B such that AB=BA=I then B is called inverse of A . Every non - singular square matrix possesses inverse and it exists if |A|!=0,A^(-1)=(adj(A))/(det(A))rArr adjA=|A|(A^(-1)),A=[[2,3],[1,2]] then it will satisfy the equation

    Inverse of a matrix

    Elementary Operations Of A Matrix|Invertible Matrices|Theorem 3 (Uniqueness Of Inverse)|Theorem 4|OMR

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