Home
Class 12
MATHS
If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):...

If `[{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdotcdot[{:(1, n-1), (0,1):}] = [{:(1, 78), (0,1):}]`, then the inverse of `[{:(1, n), (0,1):}]` is

A

`[(1,0),(12,1)]`

B

`[(1,0),(13,1)]`

C

`[(1,-12),(0,1)]`

D

`[(1,-13),(0,1)]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Let {:[(1,2),(0,1):}][{:(1,2),(0,1):}]......[{:(1,n-1),(0,1):}]=[{:(1,78),(0,1):}] If A=[{:(1,n),(0,1):}] then A^(-1)=

If [{:(1,3),(0,1):}]A=[{:(1,-1),(0,1):}] , then what is the matrix A ?

If A=[{:(1,1),(0,1):}] , prove that A=[{:(1,n),(0,1):}] for all n inN.

If [[1,3] , [0,1]] A = [[1,1] , [0,-1]] then find the value of A

If [2 1 3] [{:(-1,0,-1),(-1,1,0),(0,1,1):}][{:(1),(0),(-1):}] =A, then find the value of A.

if [{:(1,2,a),(0,1,4),(0,0,1):}]=[{:(1,18,2007),(0,1,36),(0,0,1):}] then find the value of n

If A^(-1)=[{:(,1,-1,0),(,0,-2,1),(,0,0,-1):}] then

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.