1
GATE EE 1999
MCQ (Single Correct Answer)
+1
-0.3
If $$A = \left[ {\matrix{ 1 & { - 2} & { - 1} \cr 2 & 3 & 1 \cr 0 & 5 & { - 2} \cr } } \right]$$ and $$adj (A)$$ $$= \left[ {\matrix{ { - 11} & { - 9} & 1 \cr 4 & { - 2} & { - 3} \cr {10} & k & 7 \cr } } \right]$$ then $$k=$$
A
$$-5$$
B
$$3$$
C
$$-3$$
D
$$5$$
2
GATE EE 1999
Subjective
+1
-0
Find the eigen values and eigen vectors of the matrix $$\left[ {\matrix{ 3 & { - 1} \cr { - 1} & 3 \cr } } \right]$$
3
GATE EE 1998
MCQ (Single Correct Answer)
+1
-0.3
$$A = \left[ {\matrix{ 2 & 0 & 0 & { - 1} \cr 0 & 1 & 0 & 0 \cr 0 & 0 & 3 & 0 \cr { - 1} & 0 & 0 & 4 \cr } } \right].$$ The sum of the eigen values of the matrix $$A$$ is
A
$$10$$
B
$$-10$$
C
$$-24$$
D
$$22$$
4
GATE EE 1998
MCQ (Single Correct Answer)
+1
-0.3
If the vector $$\left[ {\matrix{ 1 \cr 2 \cr { - 1} \cr } } \right]$$ is an eigen vector of $$A = \left[ {\matrix{ { - 2} & 2 & { - 3} \cr 2 & 1 & { - 6} \cr { - 1} & { - 2} & 0 \cr } } \right]$$ then one of the eigen value of $$A$$ is
A
$$1$$
B
$$2$$
C
$$5$$
D
$$-1$$
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