1
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Let the eigenvalues of a $$2 \times 2$$ matrix $$A$$ be $$1,-2$$ with eigenvectors $${x_1}$$ and $${x_2}$$ respectively. Then the eigenvalues and eigenvectors of the matrix $${A^2} - 3A + 4{\rm I}$$ would respectively, be
A
$$2,14;{\,x_1},{x_2}$$
B
$$2,14;{x_1} + {x_2}:{x_1} - {x_2}$$
C
$$2,0;{\,x_1},{x_2}$$
D
$$2,0;\,{x_1} + {x_2},\,{x_1} - {x_2}$$
2
GATE EE 2016 Set 1
Numerical
+1
-0
The maximum value attained by the function $$f(x)=x(x-1) (x-2)$$ in the interval $$\left[ {1,2} \right]$$ is _________.
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3
GATE EE 2016 Set 1
Numerical
+1
-0
A steady dc current of 100 A is flowing through a power module (S, D) as shown in Figure (a). The V-I characteristics of the IGBT (S) and the diode (D) are shown in Figures (b) and (c), respectively. The conduction power loss in the power module (S, D), in watts, is ________. GATE EE 2016 Set 1 Power Electronics - Power Semiconductor Devices Question 15 English 1 GATE EE 2016 Set 1 Power Electronics - Power Semiconductor Devices Question 15 English 2
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4
GATE EE 2016 Set 1
Numerical
+1
-0
A buck converter, as shown in Figure $$(a)$$ below, is working in steady state. The output voltage and the inductor current can be assumed to be ripple free. Figure $$(b)$$ shows the inductor voltage $${V_L}$$ during a complete switching interval. Assuming all devices are ideal, the duty cycle of the buck converter is ________. GATE EE 2016 Set 1 Power Electronics - Choppers and Commutation Techniques Question 38 English 1 GATE EE 2016 Set 1 Power Electronics - Choppers and Commutation Techniques Question 38 English 2
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