Home
Class 12
MATHS
If A= [(0,1,1),(0,0,1),(0,0,0)] is a mat...

If `A= [(0,1,1),(0,0,1),(0,0,0)]` is a matrix of order 3 then the value of the matrix `(I+A)-2A^2(I-A),` where I is a unity matrix is equal to (A) `[(1,0,0),(1,1,0),(1,1,1)]` (B) `[(1,-1,-1),(0,1,-1),(0,0,1)]` (C) `[(1,1,-1),(0,1,1),(0,0,1)]` (D) `[(0,0,2),(0,0,0),(0,0,0)]`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The inverse of the matrix [(0,0,1),(0,1,0),(1,0,0)] is (A) [(0,0,1),(0,1,0),(1,0,0)] (B) [(0,0,-1),(0,-1,0),(-1,0,0)] (C) [(1,0,0),(0,1,0),(0,0,1)] (D) [(1/2,0,0),(0,1/2,0),(0,0,1/2)]

If for a matrix A,A^2+I=0, where I is an identity matrix then A equals (A) [(1,0),(0,1)] (B) [(-1,0),(0,-1)] (C) [(1,2),(-1,1)] (D) [(-i,0),(0,-i)]

Knowledge Check

  • If A = [{:(0,1),(1,0):}] , then the matrix A is/an

    A
    Singular matrix
    B
    Involutory matrix
    C
    Nilpotent matrix
    D
    Inempotent matrix

  • Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:} . The only correct statement aboul the matrix A is

    A
    `A^2=I`
    B
    A = -I, where I is a unit matrix
    C
    `A^(-1)` does not exist
    D
    A is a zero matrix

  • The matrix [(1,0,0),(0,2,0),(0,0,4)] is a

    A
    identity matrix
    B
    symmetric matrix
    C
    skew - symmetric matrix
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    The inverse of the matrix [(1,0,0),(a,1,0),(b,c,1)] is (A) [(1,0,0),(-a,1,0),(b,c,1)] (B) [(1,0,0),(-a,1,0),(ac,b,1)] (C) [(1,-a,ac-b),(-0,1,-c),(0,0,1)] (D) [(1,0,0),(-a,1,0),(ac-b,-c,1)]

    If A=[(1,0),(0,1)] then A^4= (A) [(1,0),(0,1)] (B) [(1,1),(0,10)] (C) [(0,0),(1,1)] (D) [(0,1),(1,0)]

    If A=[(0,1),(1,0)] then A^4 is (A) [(0,0),(1,1)] (B) [(1,1),(0,0)] (C) [(0,1),(1,0)] (D) [(1,0),(0,1)]

    If P=[(i,0,-i),(0,-i,i),(-i,i,0)] and Q=[(-i,i),(0,0),(i,-i)] then PQ is equal to (A) [(-2,2),(1,-1),(1,-1)] (B) [(2,-2),(-1,-1),(-1,1)] (C) [(2,2),(-1,1)] (D) [(1,0,0),(0,1,0),(0,0,1)]

    The matrix of the transformation reflection in the line x+y=0 is (A) [(-1,0),(0,-1)] (B) [(1,0),(0,-1)] (C) [(0,1),(1,0)] (D) [(0,-1),(-1,0)]

    Home
    Profile