1
GATE ECE 2014 Set 2
Numerical
+1
-0
The maximum value of the determinant among all $$2 \times 2$$ real symmetric matrices with trace $$14$$ is ______.
Your input ____
2
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The system of linear equations $$\left( {\matrix{ 2 & 1 & 3 \cr 3 & 0 & 1 \cr 1 & 2 & 5 \cr } } \right)\left( {\matrix{ a \cr b \cr c \cr } } \right) = \left( {\matrix{ 5 \cr { - 4} \cr {14} \cr } } \right)$$ has
A
a unique solution
B
infinitely many solutions
C
no solution
D
exactly two solutions
3
GATE ECE 2014 Set 2
Numerical
+1
-0
The determinant of matrix $$A$$ is $$5$$ and the determinant of matrix $$B$$ is $$40.$$ The determinant of matrix $$AB$$ is _______.
Your input ____
4
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
The minimum eigenvalue of the following matrix is $$\left[ {\matrix{ 3 & 5 & 2 \cr 5 & {12} & 7 \cr 2 & 7 & 5 \cr } } \right]$$
A
$$0$$
B
$$1$$
C
$$2$$
D
$$3$$
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