1
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
The inverse of the matrix $$\left[ {\matrix{ {3 + 2i} & i \cr { - i} & {3 - 2i} \cr } } \right]$$ is
A
$${1 \over 2}\left[ {\matrix{ {3 + 2i} & i \cr { - i} & {3 - 2i} \cr } } \right]$$
B
$${1 \over {12}}\left[ {\matrix{ {3 - 2i} & { - i} \cr i & {3 + 2i} \cr } } \right]$$
C
$${1 \over {14}}\left[ {\matrix{ {3 + 2i} & { - i} \cr i & {3 - 2i} \cr } } \right]$$
D
$${1 \over {14}}\left[ {\matrix{ {3 - 2i} & { - i} \cr i & {3 + 2i} \cr } } \right]$$
2
GATE CE 2007
MCQ (Single Correct Answer)
+2
-0.6
The inverse of $$2 \times 2$$ matrix $$\left[ {\matrix{ 1 & 2 \cr 5 & 7 \cr } } \right]$$ is
A
$${1 \over 3}\left[ {\matrix{ { - 7} & 2 \cr 5 & { - 1} \cr } } \right]$$
B
$${1 \over 3}\left[ {\matrix{ { 7} & 2 \cr 5 & { 1} \cr } } \right]$$
C
$${1 \over 3}\left[ {\matrix{ { 7} &- 2 \cr - 5 & { 1} \cr } } \right]$$
D
$${1 \over 3}\left[ {\matrix{ { - 7} & - 2 \cr - 5 & { - 1} \cr } } \right]$$
3
GATE CE 2007
MCQ (Single Correct Answer)
+2
-0.6
The minimum and maximum eigen values of matrix $$\left[ {\matrix{ 1 & 1 & 3 \cr 1 & 5 & 1 \cr 3 & 1 & 1 \cr } } \right]$$ are $$-2$$ and $$6$$ respectively. What is the other eigen value?
A
$$5$$
B
$$3$$
C
$$1$$
D
$$-1$$
4
GATE CE 2007
MCQ (Single Correct Answer)
+2
-0.6
For what values of $$\alpha $$ and $$\beta $$ the following simultaneous equations have an infinite number of solutions $$$x+y+z=5,$$$ $$$x+3y+3z=9,$$$ $$$x + 2y + \alpha z = \beta $$$
A
$$2,7$$
B
$$3,8$$
C
$$8,3$$
D
$$7,2$$
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Fluid Mechanics and Hydraulic Machines
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