Home
Class 11
MATHS
If A=[(0,-1),(1,0)]B=[(0,i),(i,0)]C=[(i,...

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

A

`A^(2)=B^(2)=C^(2)=0`

B

`A^(2)=B^(2)=C^(2)=I`

C

`A^(2)=B^(2)=C^(2)=-I`

D

`A^(2)=B^(2)=C^(2)=2I`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - I|15 Videos
  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - II|52 Videos
  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES - EXERCISE - II|34 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

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

|(i,0),(0,i)|=

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

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

If A=[(i,0),(0,-i)],B=[(0,-1),(1,0)] and C=[(0,i),(i,0)] and I is the unit matrix of order 2, then show that (i) A^(2)=B^(2)=C^(2)=-I (ii) AB=-BA=-C .

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

If I=[(1,0),(0,1)]=J[(0,1),(-1,0)] and B=[(cos theta, sin theta),(-sin theta, cos theta)] then B=

If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following holds for all nge1 , by the principle of mathematical induction.