The system of linear equations x + y +...

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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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

The system of linear equations lambda x + y + z = 3 x - y - 2z = 6 -x + y + z = mu has

A

infinite number of solutions for `lambda ne - 1 ` and all `mu`

B

infinite number of solutions for `lambda` = -1 and `mu` = 3

C

no solution for `lambda ne - 1`

D

unique solution for `lambda` = -1 and `mu` = 3

The system of equation 2x + y - 3z = 5 3x - 2y + 2z = 5 5x - 3y - z = 16

A

(a)is inconsistent

B

(b)is consistent, with a unique solution

C

(c)is consistent, with infinitely many solutions

D

(d)has its solution lying aling x-axis in three dimensional space

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The system of linear equations x-y-2z=6.-x+y+z=mu,lambda x+y+z=3 has

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The system of linear equations 3x-y-2z=2,2y-z=-1and3x-5y=3 has

The system of equation 2x + y - 3z = 5 3x-2y+2z=5 and 5x-3y-z=16

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