GATE EE 2005 | Linear Algebra Question 50 | Engineering Mathematics

GATE EE 2005

MCQ (Single Correct Answer)

-0.6

If $$R = \left[ {\matrix{ 1 & 0 & { - 1} \cr 2 & 1 & { - 1} \cr 2 & 3 & 2 \cr } } \right]$$ then the top row of $${R^{ - 1}}$$ is

$$\left[ {\matrix{ 5 & 6 & 4 \cr } } \right]$$

$$\left[ {\matrix{ 5 & -3 & 1 \cr } } \right]$$

$$\left[ {\matrix{ 2 & 0 & -1 \cr } } \right]$$

$$\left[ {\matrix{ 2 & -1 & 0 \cr } } \right]$$

GATE EE 2005

MCQ (Single Correct Answer)

-0.6

For the matrix $$P = \left[ {\matrix{ 3 & { - 2} & 2 \cr 0 & { - 2} & 1 \cr 0 & 0 & 1 \cr } } \right],$$ one of the eigen values is $$-2.$$ Which of the following is an eigen vector?

$$\left( {\matrix{ 3 \cr { - 2} \cr 1 \cr } } \right)$$

$$\left[ {\matrix{ { - 3} \cr 2 \cr { - 1} \cr } } \right]$$

$$\left[ {\matrix{ 1 \cr { - 2} \cr 3 \cr } } \right]$$

$$\left[ {\matrix{ 2 \cr 5 \cr 0 \cr } } \right]$$

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Digital Electronics

Analog to Digital and Digital to Analog Converter Microprocessor Sequential Circuits Logic Gates Minimization Logic Families and Memories Boolean Algebra Combinational Circuits

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Controller and Compensator Root Locus Techniques Polar Nyquist and Bode Plot State Variable Analysis Basics of Control System Time Response Analysis Routh Hurwitz Stability Block Diagram and Signal Flow Graph

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