Question 8711 – ER-Model
December 11, 2023
Question 12334 – APPSC-PL-2020-Technical-Paper
December 11, 2023
Question 8711 – ER-Model
December 11, 2023
Question 12334 – APPSC-PL-2020-Technical-Paper
December 11, 2023

Question 9142 – GATE 2008

The following system of equations

    x1 + x2 + 2x3  = 1
    x1 + 2x2 + 3x3 = 2

    x1 + 4x2 + ax3 = 4

has a unique solution. The only possible value(s) for a is/are

Correct Answer: D

Question 3 Explanation: 
The conjugate matrix [A|B] is

When a-5 = 0, then rank(A) = rank[A|B]<3,
So infinite number of solutions.
But, it is given that the given system has unique solution
i.e., rank(A) = rank[A|B] = 3 will be retain only if a-5 ≠ 0.

A
0
B
either 0 or 1
C
one of 0, 1 or -1
D
any real number
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