GATE & PSUs - Electrical & Electronics Engineering (EE & ECE)

Transmission Lines (Impedance Matching, Smith Chart, SWR) question bank (Electromagnetics & Communication Systems)

Practice 7 free GATE & PSUs - Electrical & Electronics Engineering (EE & ECE) Electromagnetics & Communication Systems - Transmission Lines (Impedance Matching, Smith Chart, SWR) questions with answers and step-by-step solutions.

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Q1.

[Transmission Lines (Impedance Matching, Smith Chart, SWR) Concept 3] The matrix $A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}$ has eigenvalues $\lambda_1$ and $\lambda_2$. What are the eigenvalues of the matrix $A^3 - 2A + I$?

(A)

$22$ and $0$

(B)

$8$ and $1$

(C)

$27$ and $1$

(D)

$24$ and $2$

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Q2.

[Transmission Lines (Impedance Matching, Smith Chart, SWR) Concept 13] The matrix $A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}$ has eigenvalues $\lambda_1$ and $\lambda_2$. What are the eigenvalues of the matrix $A^3 - 2A + I$?

(A)

$22$ and $0$

(B)

$8$ and $1$

(C)

$27$ and $1$

(D)

$24$ and $2$

Show answer & solution

Verified Answer & Solution Locked

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