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If A any square matrix then...

If A any square matrix then

A

`A+A ` is skew symmetric

B

A-A is symmetric

C

AA is symmetric

D

none of these

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The correct Answer is:
C
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FIITJEE-MATRICES -ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)
  1. If A = [{:( 0,0,0),(0,0,0) ,(0,1,0):}] ,then A is

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  2. If A and B are symmetric matrices of the same order then (A) A-B is sk...

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  3. If A any square matrix then

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  4. If A is a square matrix such that A^(3) =I then the value of A^(-1) ...

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  5. Let A be a square matrix. Then which of the following is not a symmetr...

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  6. If P and Q are symmetric matrices and PQ=QP then which of the followin...

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  7. If A is skew symmetric matrix, then I - A is (where I is identity matr...

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  8. If A=[(4,2),(-1,1)] then (A-21) (A-3I)=

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  9. If A =[{:( a,x,y),( x,b,z),( y,z,c) :}] : a,b,c,x,y,z, "in" (1,2,3,4...

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  10. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

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  11. Let A is a matrix of order 100xx 50 and B is matrix of order 50xx 75...

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  12. Let Mn =[mg] denotes a square matrix of order n with entries as follow...

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  13. Let A be a 2xx 2 matrix with real entries and det (A)= d ne 0 such ...

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  14. If alpha be the set of integral values of c for which the equations c...

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  15. If A and B matrices commute then

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  16. If A, B, C are invertible matrices, then (ABC)^(-1)=

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

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  18. Trace of a skew symmetric matrix is always equal to

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  19. If An= [ad ]A2 =[{:( a2, as),( a4 .a5):}], A5 =[{:( a6,a7,a8),( a9,a1...

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  20. If I=[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,-1,0):}]and B=[{:(,cos theta,s...

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