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The number of values of k for which ...

The number of values of k for which the linear equations
`4x+ky+2z=0`
`kx+4y+z=0`
`2x+2y+z=0`
possess a non-zero solution is

A

3

B

2

C

1

D

zero

Text Solution

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The correct Answer is:
B
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RESONANCE ENGLISH-MATRICES & DETERMINANT-PART-II:
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  2. Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) a...

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If A=[(5a,-b),(3,2)] and A adj A=A A^(T), then 5a+b is equal to

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  17. If S is the set of distinct values of 'b' for which the following ...

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  18. If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to

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  19. If the system of linear equations. x+ky+3z=0 3x+ky-2z=0 2x+4y...

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  20. if |{:(x-4,,2x,,3x),(2x,,x-4,,2x),(2x,,2x,,x-4):}|=(A+Bx)(x-A)^(2), th...

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