1pata hai yaar...
par see... in comprehension then can give right??
becoz they already told u wat an idempotent matrix is ??
btw.. yeh amrita kaun hai :P
a square matrix A is said to be an idempotent matrix if A2=A.
now answer the following questions:
8.) if A is a non-singular idempotent matrix, then
a) A=IN b) A=0 C) A+A'=0 D) none of these.
[cont....]
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27 Answers
1
21Q11 ka kyare??
kisiko 11th me D aa raha hai?
or koi A wala bhi hai kya [5]
21QUE.12
(A+B).(A+B) = A+B
A2 + B2 + AB + BA = A + B
AS A = A2 nd B = B22
AB + BA = 0
so both equal n zero!!!
2111.) if A is an idempotent matrix and B=I-A , then which of the following is not true??
111ho gaya :)
B=I-A
AB=AI-A^2
bt A^2=A
thus AB=AI-A
AB=A(I-1)
I-1=0 (nt sure bt shyd rite )
so AB=0
2110 ho gaya!!! [1]
B2 = B - BA
FRM GIVEN : multiplying A
BA = A - A2
BA = 0 .......... coz A = idemp.
so B2 = B - 0 = B
so idemp
11amrita ji sorry to interpret ur discussion but indempotent matrix JEE mein nahin hai[2][2][2]
112.) if A,B, and A+B are idempotent matrices, then
a) AB=BA=0
b) AB=BA=In
C)AB=BA≠0
d) AB =BA = In
111.) if A is an idempotent matrix and B=I-A , then which of the following is not true??
a) AB=0
b) BA=0
c) B2=I
d) AB=In
110.) suppose A is an idempotent matrix and B=I-A , then,
a)B is an idempotent
b) AB=In
c) BA' = In
d) not..
19) if A and B are idempotent matrices and AB=BA, then which of the following is an idempotent matrix ?
a) A+B b)AB c)A-B d)B-A