1
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
The rank of the matrix $$\left[ {\matrix{ 1 & 1 & 1 \cr 1 & { - 1} & 0 \cr 1 & 1 & 1 \cr } } \right]$$ is
A
$$0$$
B
$$1$$
C
$$2$$
D
$$3$$
2
GATE ECE 2000
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of the matrix $$\left[ {\matrix{ 2 & { - 1} & 0 & 0 \cr 0 & 3 & 0 & 0 \cr 0 & 0 & { - 2} & 0 \cr 0 & 0 & { - 1} & 4 \cr } } \right]$$ are
A
$$2,-2,1,-1$$
B
$$2,3,-2,4$$
C
$$2,3,1,4$$
D
None
3
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of the matrix $$A = \left[ {\matrix{ 0 & 1 \cr 1 & 0 \cr } } \right]$$ are
A
$$1,1$$
B
$$-1,-1$$
C
$$j,-j$$
D
$$1,-1$$
4
GATE ECE 1994
MCQ (Single Correct Answer)
+1
-0.3
The following system of equations
$${{x_1} + {x_2} + {x_3} = 3}$$
$${{x_1} - {x_3} = 0}$$
$${{x_1} - {x_2} + {x_3} = 1}$$ has
A
Unique solution
B
No solution
C
Infinite number of solutions
D
Only one solution
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