1
GATE CE 2012
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of matrix $$\left[ {\matrix{ 9 & 5 \cr 5 & 8 \cr } } \right]$$ are
A
$$-2.42$$ and $$6.86$$
B
$$3.48$$ and $$13.53$$
C
$$4.70$$ and $$6.86$$
D
$$6.86$$ and $$9.50$$
2
GATE CE 2009
MCQ (Single Correct Answer)
+1
-0.3
A square matrix $$B$$ is symmetric if ____
A
$${B^T} = - B$$
B
$${B^T} = B$$
C
$${B^{ - 1}} = B$$
D
$${B^{ - 1}} = {B^T}$$
3
GATE CE 2009
MCQ (Single Correct Answer)
+1
-0.3
In the solution of the following set of linear equations by Gauss-elimination using partial pivoting $$$5x+y+2z=34,$$$ $$$4y-3z=12$$$ and $$$10x-2y+z=-4.$$$
The pivots for elimination of $$x$$ and $$y$$ are
A
$$10$$ and $$4$$
B
$$10$$ and $$2$$
C
$$5$$ and $$4$$
D
$$5$$ and $$-4$$
4
GATE CE 2008
MCQ (Single Correct Answer)
+1
-0.3
The following system of equations $$$x+y+z=3,$$$ $$$x+2y+3z=4,$$$ $$$x+4y+kz=6$$$
will not have a unique solution for $$k$$ equal to
A
$$0$$
B
$$5$$
C
$$6$$
D
$$7$$

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