Home
Class 12
MATHS
If A = [(1,2),(0,1)] , then A^(n) is :...

If `A = [(1,2),(0,1)] ` , then `A^(n)` is :

A

`[(1,2^(n)),(0,1)] `

B

`[(1,n^(2)),(0,1)] `

C

`[( 1,2n),(0,1)] `

D

`[(1,n^(2)),(1,1)] `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos
  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|9 Videos
  • MOCK TEST PAPER -I

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

Let A = [[1,2],[0,1]] . Then A^(n) =

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

If A= [[0,1,0],[1,0,0],[0,0,1]] , then A^(2n)= where n is a positive integer.

if the product of n matrices [(1,1),(0,1)][(1,2),(0,1)][(1,3),(0,1)]…[(1,n),(0,1)] is equal to the matrix [(1,378),(0,1)] the value of n is equal to

If A=[[1,a],[0,1]], then lim _(n to oo)(1)/(n) A^n is

Let A=[(0,1),(0,0)] , show that (aI+bA)^(n)=a^(n)I+na^(n-1)bA , where I is the identity matrix of order 2 and n in N .

Let A=[(0,1),(0,0) ] show that (a I+b A)^n=a^n I+n a^(n-1)b A , where I is the identity matrix of order 2 and n in N .

If the value of C_(0) + 2C_(1) + 3C_(2) + ……. + (n+1) C_(n) =576 then n is :

Let, C_(k) = ""^(n)C_(k) " for" 0 le kle n and A_(k) = [[C_(k-1)^(2),0],[0,C_(k)^(2)]] for k ge l and A_(1) + A_(2) + A_(3) +...+ A_(n) = [[k_(1),0],[0, k_(2)]] , then