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 ______.
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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
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 _______.
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4
GATE ECE 2014 Set 1
Numerical
+1
-0
$$A$$ real $$\left( {4\,\, \times \,\,4} \right)$$ matrix $$A$$ satisfies the equation $${A^2} = {\rm I},$$ where $${\rm I}$$ is the $$\left( {4\,\, \times \,\,4} \right)$$ identity matrix. The positive eigen value of $$A$$ is _______.
Your input ____
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