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Let A be 2 x 2 matrix.Statement I adj (...

Let A be 2 x 2 matrix.Statement I `adj (adj A) = A` Statement II `|adj A| = A`

A

Statement-1is true, Statement-2 is true and Statement-2 is not correct explantion for Statement-1.

B

Statement-1 is true, Statement-2 is false.

C

Statement-1 is false, Statement-2 is true

D

Statement-1 is true, Statement-2 is true and Statement-2 is a correct explantion for Statement-1.

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The correct Answer is:
A
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RESONANCE-MATRICES & DETERMINANT-PART-II:
  1. Let A be 2 x 2 matrix.Statement I adj (adj A) = A Statement II |adj ...

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  2. Let a, b, c be such that b(a""+""c)!=0 . If |a a+1a-1-bb+1b-1cc-1c...

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

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  4. Let A be a 2 xx 2 matrix with non-zero entries and let A^2=I, where i ...

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

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

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  7. The number of values of k for which the linear equations 4x""+""k y""+...

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

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

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  10. Statement -1 : Determinant of a skew-symmetric matrix of order 3 is ze...

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  11. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

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  12. Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q...

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  13. The number of values of k, for which the system of eauations: (k+1)x...

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  14. If P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of a 3 x 3 matrix ...

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  15. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

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  16. If A is an 3xx3 non-singular matrix such that AA^'=""A^' A and B""=...

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  17. If A=[1 2 2 2 1-2a2b] is a matrix satisfying the equation AA^T=""9I , ...

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  18. The set of the all values of lamda for which the system of linear equa...

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  19. The system of linear equations: x+lambday-z=0 lamdax-y-z=0 x+y-l...

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  20. If A=|{:(,5a,-b),(,3,2):}| and A adj A=A A^(T), then 5a+b is equal to

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