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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 ENGLISH-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) ne 0. If |{:(a,a+1,a-1),(-b,b+1,b-1)...

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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 2xx2 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 2x(1)...

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

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  7. The number of values of k for which the linear equations 4x+ky+2...

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  8. If omega^3=1 is the complex cube root of unity and matrix H=|{:(,omega...

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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 P ne Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P,...

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  13. The number of values of k for which the system of equations (k+1)x+8y=...

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  14. IF P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of 3xx3 matrix A and...

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  15. if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...

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

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  17. If A=[(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisying the equation A A...

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  18. The set of all values of lambda for which the system of linear equ...

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  19. The system of linear equations x+lambday-z=0, lambdax-y-z=0, x+y-lam...

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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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