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The system of linear equations x - 2y ...

The system of linear equations
`x - 2y + z = 4`
`2x + 3y - 4z = 1`
`x - 9y + (2a + 3)z = 5a + 1`
has infinitely many solution for:

A

`a!= 2`

B

`a = 1`

C

No value of a

D

a = 2

Text Solution

Verified by Experts

The correct Answer is:
D

Check for `a = 2`
`D = D_1 = D_2 = D_3 = 0`.
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Knowledge Check

  • The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a^(2) - 1)z = a + 1

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    is inconsisten when `|a| = sqrt(3)`
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    is inconsistent when a = 4
    D
    has a unique solution for `|a| = sqrt(3)`
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