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Consider the system of linear equations ...

Consider the system of linear equations :
`x_1+2x_2+x_3=3`
`2x_1+3x_2+x_3=3`
`3x_1+5x_2+2x_3=1`
The system has :

A

infinite number of solutions

B

exactly 3 solutions

C

a unique solution

D

no solution

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The set of all values of lamda for which the system of linear equations : 2x_1-2x_2+x_3=lamdax_1 -x_1+2x_2" "=lamdax_3 has a non- trivial solution :

    A
    is an empty set
    B
    is a singleton
    C
    contains two elements
    D
    contains more than two elements .

  • The number of solutions of the equation : x_2-x_3=1 -x_1+2x_3=2 x_1-2x_2=3 is :

    A
    zero
    B
    one
    C
    two
    D
    infinite

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