1
GATE EE 1998
+1
-0.3
The laws of electromagnetic induction (Faraday's and Lenz's law) are summarized in the following equation
A
$$e = iR$$
B
$$e = L{{di} \over {dt}}$$
C
$$e = - {{d\psi } \over {dt}}$$
D
none of these
2
GATE EE 1998
+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
$$22$$
3
GATE EE 1998
+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
$$-1$$
4
GATE EE 1998
+1
-0.3
If $$A = \left[ {\matrix{ 5 & 0 & 2 \cr 0 & 3 & 0 \cr 2 & 0 & 1 \cr } } \right]$$ then $${A^{ - 1}} =$$
A
$$\left[ {\matrix{ 1 & 0 & { - 2} \cr 0 & {1/3} & 0 \cr { - 2} & 0 & 5 \cr } } \right]$$
B
$$\left[ {\matrix{ 5 & 0 & 2 \cr 0 & { - 1/3} & 0 \cr 2 & 0 & 1 \cr } } \right]$$
C
$$\left[ {\matrix{ {1/5} & 0 & {1/2} \cr 0 & {1/3} & 0 \cr {1/2} & 0 & 1 \cr } } \right]$$
D
$$\left[ {\matrix{ {1/5} & 0 & { - 1/2} \cr 0 & {1/3} & 0 \cr { - 1/2} & 0 & 1 \cr } } \right]$$
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