Home
Class 12
MATHS
If A = ({:( 1,2,3),( 2,1,2),( 2,2,1) :})...

If A `= ({:( 1,2,3),( 2,1,2),( 2,2,1) :}) and A^(2) -4A -5l =O ` where I and O are the unit matrix and the null matrix order 3 respectively if ,` 15A^(-1) =lambda |{:( -3,2,3),(2,-3,2),(2,2,-3):}|` then the find the value of ` lambda `

Text Solution

Verified by Experts

The correct Answer is:
3
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise MATCH THE COLUMN|4 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

If A=[122212221], then show that A^(2)-4A-5I=O, where Iand 0 are the unit matrix and the null matrix of order 3, respectively.Use this result to find A^(-1)

If A=[{:(1,0,-1),(2,1,3),(0,1, 1):}] then verify that A^(2)+A=(A+I) , where I is 3xx3 unit matrix.

Knowledge Check

  • The matrix [(1,2,3),(1,2,3),(-1,-2,-3)] is

    A
    idempotent
    B
    nilpotent
    C
    involutory
    D
    orthogonal

    • Similar Questions

    Explore conceptually related problems

    If A=({:(1,2),(2,3):}) and A^(2) -KA-I_(2)=O," where "I_(2) is the 2xx2 identitiy matrix, then what is the value of k ?

    If A=[[1,-3,22,0,-11,2,3]], then show that AA^(3)-4A^(2)-3A+11I=0 where O and I are null and identity matrix of order 3 respectively.

    If A=[(1, -2, 1),(0, 1 ,-1),(3, -1, 1)] then find A^(3)-3A^(2)-A-3I where I is unit matrix of order 3.

    If lambda "and" mu are the cofactors of 3 and -2 respectively in the determinant |{:(1,0,-2),(3,-1,2),(4,5,6):}| the value of lambda+mu is

    If A=[[1,x,-2],[2,2,4],[0,0,2]] and A^2+2I_3=3A find x: here I_3 is the unit matrix of order 3.

    If lambda and mu are the co factors of 3 and -2 respectively in the determinant |[1,0,-2] , [3,-1,2] , [4,5,6]| then the value of lambda+mu=

    If the points A(-1,3,2),B(-4,2,-2) and C(5,5,lambda) are collinear,find the value of lambda

    Home
    Profile