1
GATE ME 2005
MCQ (Single Correct Answer)
+1
-0.3
$$A$$ is a $$3 \times 4$$ matrix and $$AX=B$$ is an inconsistent system of equations. The highest possible rank of $$A$$ is
A
$$1$$
B
$$2$$
C
$$3$$
D
$$4$$
2
GATE ME 2004
Numerical
+1
-0
For what value of $$x$$ will the matrix given below become singular? $$\left[ {\matrix{ 8 & x & 0 \cr 4 & 0 & 2 \cr {12} & 6 & 0 \cr } } \right]$$
Your input ____
3
GATE ME 2004
MCQ (Single Correct Answer)
+1
-0.3
The sum of the eigen values of the matrix $$\left[ {\matrix{ 1 & 1 & 3 \cr 1 & 5 & 1 \cr 3 & 1 & 1 \cr } } \right]$$ is
A
$$5$$
B
$$7$$
C
$$9$$
D
$$18$$
4
GATE ME 1997
MCQ (Single Correct Answer)
+1
-0.3
For the following set of simultaneous equations $$$1.5x - 0.5y + z = 2$$$ $$$4x + 2y + 3z = 9$$$ $$$7x + y + 5z = 10$$$
A
the solution is unique
B
infinitely many solutions exist
C
the equations are incompatible
D
finite many solutions exist
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