Home
Class 12
MATHS
A and B are two matrices. Such that A^(2...

A and B are two matrices. Such that `A^(2)B=BA` and if `(AB)^(10)=A^(k)*B^(10)`. Find the value of k 1020.

Text Solution

Verified by Experts

The correct Answer is:
3
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES

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

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

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|2 Videos

Similar Questions

Explore conceptually related problems

A and B are two square matrices such that A^(2)B=BA and if (AB)^(10)=A^(k)B^(10) then the value of k-1020 is.

A and B are two square matrices such that A^(2)B=BA and if (AB)^(10)=A^(k)B^(10) , then k is

If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=

Suppose A and B are two non singular matrices such that B != I, A^6 = I and AB^2 = BA . Find the least value of k for B^k = 1

Let A and B are two matrices such that AB = BA, then for every n in N

Let A and B are square matrices of order 3 such that AB^(2)=BA and BA^(2)=AB . If (AB)^(3)=A^(3)B^(m) , then m is equal to

Let A and B be two non-singular square matrices such that B ne I and AB^(2)=BA . If A^(3)-B^(-1)A^(3)B^(n) , then value of n is

Show that , if A and B are square matrices such that AB=BA, then (A+B)^(2)=A^(2)+2AB+B^(2) .

If A and B are two square matrices such that B=-A^(-1)BA , then (A+B)^(2) is equal to

if A and B are two matrices of order 3xx3 so that AB=A and BA=B then (A+B)^7=