1
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 $$-4$$
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 2008
MCQ (Single Correct Answer)
+1
-0.3
The product of matrices $${\left( {PQ} \right)^{ - 1}}P$$ is
A
$${P^{ - 1}}$$
B
$${Q^{ - 1}}$$
C
$${P^{ - 1}}$$ $${Q^{ - 1}}$$ $$P$$
D
$$P$$ $$Q$$ $${P^{ - 1}}$$
4
GATE CE 2008
MCQ (Single Correct Answer)
+1
-0.3
The eigenvalues of the matrix $$\left[ P \right] = \left[ {\matrix{ 4 & 5 \cr 2 & { - 5} \cr } } \right]$$ are
A
$$-7$$ and $$8$$
B
$$-6$$ and $$5$$
C
$$3$$ and $$4$$
D
$$1$$ and $$2$$
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Fluid Mechanics and Hydraulic Machines
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