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Let A and B two symmetric matrices of or...

Let A and B two symmetric matrices of order 3.
Statement 1 : `A(BA)` and `(AB)A` are symmetric matrices.
Statement 2 : `AB` is symmetric matrix if matrix multiplication of A with B is commutative.

A

Statement I is true, Statement II is true, Statement II is not a correct explanation of Statement I

B

Statement I is true, Statement II is false

C

Statement I is false, Statement II is true

D

Statement I is true, Statement II is true, Statement II is a correct explanation of Statement I

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A
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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  2. The number of values of k for which the linear equations 4x+ky+2...

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  3. Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) a...

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  4. If the trivial solution is the only solution of the system of equation...

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  5. Statement-1:Determination of a skew-symmetric matrix of order 3 is zer...

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  6. If omega=1 is the complex cube root of unity and matrix H=|{:(,omega,0...

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  7. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

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  8. The number of 3 x 3 non-singular matrices, with four entries as 1 and ...

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  9. Let a be a 2xx2 matrix with non-zero entries and let A^(2)=I, where I ...

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  10. Let a,b,c be such that b(a+c) ne 0. If |{:(a,a+1,a-1),(-b,b+1,b-1)...

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  11. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

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  12. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identity...

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  13. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

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  14. Let A be a square matrix all of whose entries are integers. Which on...

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  15. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

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  16. Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...

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  17. If A and B f are square matrices of size nxxn such that A^(2) - B^(2...

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  18. Let A =((1,2),(3,4))and B= ((a,0),(0,b)), a, bin N. Then,

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  19. If A is a square matrix such that A^2-A+l=0, then the inverse of A is

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  20. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

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