1
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
2
GATE ME 1996
MCQ (Single Correct Answer)
+1
-0.3
In the Gauss - elimination for a solving system of linear algebraic equations, triangularization leads to
A
diagonal matrix
B
lower triangular matrix
C
upper triangular matrix
D
singular matrix
3
GATE ME 1996
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of $$\left[ {\matrix{ 1 & 1 & 1 \cr 1 & 1 & 1 \cr 1 & 1 & 1 \cr } } \right]$$ are
A
$$0,0,0$$
B
$$0,0,1$$
C
$$0,0,3$$
D
$$1,1,1$$
4
GATE ME 1995
MCQ (Single Correct Answer)
+1
-0.3
Among the following, the pair of vectors orthogonal to each other is
A
$$\left[ {3,4,7} \right],\left[ {3,4,7} \right]$$
B
$$\left[ {1,0,0} \right],\left[ {1,1,0} \right]$$
C
$$\left[ {1,0,2} \right],\left[ {0,5,0} \right]$$
D
$$\left[ {1,1,1} \right],\left[ { - 1, - 1, - 1} \right]$$

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