Home
Class 12
MATHS
If A=[{:(1,0,0),(1,0,1),(0,1,0):}], then...

If `A=[{:(1,0,0),(1,0,1),(0,1,0):}]`, then

A

`A^(2) =A `

B

` A^(2) = 0`

C

` A^(2)= I`

D

`A^(3) = O`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If A=[{:(1,0,0),(0,1,0),(a,b,-1):}] then A^(2) is equal to

If A=[{:(1,0,0),(0,1,0),(a,b,-1):}] then A^(2) is equal to

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

Let A=[(1,0,0),(1,0,1),(0,1,0)] satisfies A^(n)=A^(n-2)+A^(2)-I for n ge 3 . And trace of a square matrix X is equal to the sum of elements in its proncipal diagonal. Further consider a matrix underset(3xx3)(uu) with its column as uu_(1), uu_(2), uu_(3) such that A^(50) uu_(1)=[(1),(25),(25)], A^(50) uu_(2)=[(0),(1),(0)], A^(50) uu_(3)=[(0),(0),(1)] Then answer the following question : Trace of A^(50) equals

Let A=[(1,0,0),(1,0,1),(0,1,0)] satisfies A^(n)=A^(n-2)+A^(2)-I for n ge 3 . And trace of a square matrix X is equal to the sum of elements in its proncipal diagonal. Further consider a matrix underset(3xx3)(uu) with its column as uu_(1), uu_(2), uu_(3) such that A^(50) uu_(1)=[(1),(25),(25)], A^(50) uu_(2)=[(0),(1),(0)], A^(50) uu_(3)=[(0),(0),(1)] Then answer the following question : The value of |uu| equals

If A=|{:(1,0,0),(0,1,0),(0,0,1):}|" and A"=[{:(0,-3,4),(1,2,3),(0,5,5):}]," then find "(I-A)^(-1)

if A=[{:(3,-1,2),(0,5,-3),(1,-2,7):}]and B=[{:(1,0,0),(0,1,0),(0,0,1):}], find whether AB=BA or Not .

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

If A=[(1,0,0),(0,1,0),(1,b,0] then A^2 is equal is (A) unit matrix (B) null matrix (C) A (D) -A

Let a be a 3xx3 matric such that [(1,2,3),(0,2,3),(0,1,1)]=[(0,0,1),(1,0,0),(0,1,0)] , then find A^(-1) .