Home
Class 12
MATHS
Let A=[(0,0,-10,(0,-1,0),(-1,0,0)] Then ...

Let `A=[(0,0,-10,(0,-1,0),(-1,0,0)]` Then only correct statement about the matrix A is (A) A is a zero matrix (B) `A^2=1` (C) `A^-1` does not exist (D) `A=(-1)` I where I is a unit matrix

A

A is a zero matrix

B

`A^(2)=I`, where I is a unit matrix

C

`A^(-1)` does not exist

D

`A=(-1)I`, where I is a unit matrix

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    VK JAISWAL|Exercise Exercise-2 : One or More than One Answer is/are Correct|5 Videos
  • MATRICES

    VK JAISWAL|Exercise Exercise-3 : Matching Type Problems|4 Videos
  • LOGARITHMS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|19 Videos
  • PARABOLA

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about the matrix A is (A) A is a zero matrix (B) A^2=I (C) A^-1 does not exist (D) A=(-1)I where I is a unit matrix

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

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

Let A = [(1,1,0),(0,1,0),(0,0,1)] and let I denote the 3xx3 identity matrix . Then 2A^(2) -A^(3) =

If A=[(1,0,0),(0,1,0),(1,b,-10] then A^2 is equal is (A) unit matrix (B) null matrix (C) A (D) -A

If matrix A=[(0,-1),(1,0)] , then A^16 =

If A=[(1,0,0),(0,1,0),(a,b,-1)] then A^2 is equal to (A) null matrix (B) unit matrix (C) -A (D) A

If A is a square matrix and |A|!=0 and A^(2)-7A+I=0 ,then A^(-1) is equal to (I is identity matrix)

If A=[(1 ,0, 0),(0, 1,0),( a,b, -1)] , then A^2 is equal to (a) a null matrix (b) a unit matrix (c) A (d) A