Home
Class 11
MATHS
Let A=((0,0,-1),(0,-1,0),(-1,0,0)). The ...

Let `A=((0,0,-1),(0,-1,0),(-1,0,0))`. The 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 unit matrix

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - EXERCISE - I|24 Videos
  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - EXERCISE - II|22 Videos
  • MATRICES

    AAKASH SERIES|Exercise INVERSE OF A MATRIX- EXERCISE - II|29 Videos
  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

|(0,1,1),(1,0,1),(1,1,0)|=

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

If A=[(1,0,0),(1,0,1),(0,1,0)] Then tra(A)

If A=[(0,-1),(1,0)],B=[(0,i),(i,0)] then

If A=[(1,1,0),(0,1,1),(0,0,1)] then A^(2)=

The matrix [(3,0,0),(0,2,0),(0,0,1)] is

The matrix [(a,0,0),(0,b,0),(0,0,c)] is

A=((1,0,1),(0,1,1),(0,1,0))impliesA^(2)-2A=

The rank of [(1,0,0),(0,1,0),(0,0,1)] is

If A=[(0,1),(1,0)] then A^(2004)=