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The set of all values of lambda for wh...

The set of all values of `lambda` for which the system of linear equations
`2x_(1)-2x_(2)+x_(3)=lambdax_(1)`
`2x_(1)-3x_(2)+2x_(3)=lambdax_(2)`
`-x_(1)+2x_(2)=lambdax_(3)`
has a non-trivial solution,

A

contains two elements

B

contains more than two elements

C

is an empty set

D

is a singleton

Text Solution

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The correct Answer is:
A
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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  10. if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...

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  11. If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...

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

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

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

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

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