Home
Class 11
MATHS
If A=[(1,-2,3),(2,3,-1),(-3,1,2)] and B=...

If `A=[(1,-2,3),(2,3,-1),(-3,1,2)]` and `B=[(1,0,2),(0,1,2),(1,2,0)]` then examine whether A and B commute with respect to multiplication of matrices.

Text Solution

Verified by Experts

The correct Answer is:
`rArr` A, B do not commute with respect to multipication of matrices.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|9 Videos

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.1 (Very short answer questions)|20 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=[(1,2,3),(2,0,-1),(0,2,-2)],B=[(1,0,0),(0,-1,0),(-1,0,2)] then 4A-3B=

If A=[(-1,2),(0,1)] then A A^(T) . Do A and A^(T) commute with respect to multiplication of matrices ?

IF A=[{:(-1,2),(0,1):}] then find AA'. Do A and A' commute with respect to mulitplication of matrices?

If A=[(1,5,3),(2,4,0),(3,-1,-5)] and B=[(2,-1,0),(0,-2,5),(1,2,0)] then 3A-5B^(T)=

If A = [(1,5,3),(2,4,0),(3,-1,-5)], B = [(2,-1,0),(0,-2,5),(1,2,0)] then find 3A - 4B .

If A=[(1,-1,2),(2,1,-3),(-2,1,2)],B=[(2,1,0),(2,-3,1),(1,1,-1)] then (A+B)^(T)=

The rank of [(1,0,2),(2,1,0),(3,2,1)]

If A=[(0,1,2),(2,3,4),(4,5,6)] and B=[(1,-2,0),(0,1,-1),(-1,0,3)] then find A-B and 4B-3A

If A=[(1,0,1)],B=[(2,1),(1,0),(3,2)] then AB=