1
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
Given the matrix $$\left[ {\matrix{ { - 4} & 2 \cr 4 & 3 \cr } } \right],$$ the eigen vector is
A
$$\left[ {\matrix{ 3 \cr 2 \cr } } \right]$$
B
$$\left[ {\matrix{ 4 \cr 3 \cr } } \right]$$
C
$$\left[ {\matrix{ 2 \cr { - 1} \cr } } \right]$$
D
$$\left[ {\matrix{ { - 2} \cr 1 \cr } } \right]$$
2
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
If $$A = \left[ {\matrix{ 2 & { - 0.1} \cr 0 & 3 \cr } } \right]$$ and $${A^{ - 1}} = \left[ {\matrix{ {{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}} & a \cr 0 & b \cr } } \right]$$ then $$a+b=$$
A
$${7 \over {20}}$$
B
$${3 \over {20}}$$
C
$${19 \over {60}}$$
D
$${11 \over {20}}$$
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