Home
Class 12
MATHS
If A is a non-singular matrix then prove...

If A is a non-singular matrix then prove that `A^(-1) = (adjA)/(|A|)`.

Answer

Step by step text solution for If A is a non-singular matrix then prove that A^(-1) = (adjA)/(|A|). by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • IPE:MARCH-2018[TS]

    SRISIRI PUBLICATION|Exercise SECTION-C (LAQs)|8 Videos

  • IPE:MARCH-2018[TS]

    SRISIRI PUBLICATION|Exercise SECTION-C (LAQs)|8 Videos

  • IPE:MARCH-2018(TS)

    SRISIRI PUBLICATION|Exercise SECTION-C|6 Videos

  • IPE:MARCH-2019 (AP)

    SRISIRI PUBLICATION|Exercise SECTION - C|5 Videos

Similar Questions

Explore conceptually related problems

If A is non-singular matrix, then prove that A ^(-1) = (AdjA)/( |A|).

If A is a non-singular matrix, then prove that A ^(-1) = (Adj A )/( |A|).

Knowledge Check

  • If A is a nonsingular matrix, then detA^(-1)=

    A
    `(detA)^(n-2)A`
    B
    `detA`
    C
    `1/(detA)`
    D
    `(Adj)A`

  • If A is a singular matrix then adj A is

    A
    singular
    B
    nonsingular
    C
    symmetric
    D
    not defined

  • If is a nonsingular matrix of type n then Adj(AdjA)=

    A
    `(detA)^(n-2)A`
    B
    `detA`
    C
    `1/(detA)`
    D
    `(Adj)A`

    • Similar Questions

    Explore conceptually related problems

    If A is an 3xx3 non-singular matrix such that AA' = A'A and B=A^(-1)A' , then BB' equals:

    If A is a nonsingular matrix of type n Adj(AdjA)=kA , then k=

    If A is a nonsingular matrix and B is a matrix, then detB=

    Suppose n gt 1 and A is a n xx n non singular matrix such that |Adj A| = |Adj (Adj A)|. Then the matrix whose rank is n, is

    If a is a square matrix, then adjA^(T)-(adjA)^(T)=

    Home
    Profile