1
GATE CSE 2015 Set 2
Numerical
+1
-0
The number of divisors of $$2100$$ is ___________.
Your input ____
2
GATE CSE 2015 Set 1
Numerical
+1
-0
In the LU decomposition of the matrix $$\left[ {\matrix{ 2 & 2 \cr 4 & 9 \cr } } \right]$$, if the diagonal elements of U are both 1, then the lower diagonal entry $${l_{22}}$$ of L is ________.
Your input ____
3
GATE CSE 2014 Set 2
Numerical
+1
-0
If the matrix A is such that $$$A = \left[ {\matrix{ 2 \cr { - 4} \cr 7 \cr } } \right]\,\,\left[ {\matrix{ 1 & 9 & 5 \cr } } \right]$$$ then the determinant of A is equal to _________.
Your input ____
4
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following statements is TRUE about every $$n\,\, \times \,n$$ matrix with only real eigen values?
A
If the trace of the matrix is positive and the determinant of the negative, at least one of its eigen values is negative.
B
If the trace of the matrix is positive, all its eigen values are positive.
C
If the determinanant of the matrix is positive, all its eigen values are positive.
D
If the product of the trace and determination of the matrix is positive, all its eigen values are positive.
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