GATE & PSUs - Mechanical Engineering (ME)

Metrology & Limits, Fits, Tolerances question bank (Manufacturing & Industrial Engineering)

Practice 6 free GATE & PSUs - Mechanical Engineering (ME) Manufacturing & Industrial Engineering - Metrology & Limits, Fits, Tolerances questions with answers and step-by-step solutions.

Start free Book a demo

All Hard Medium

Q1.

[Metrology & Limits, Fits, Tolerances Concept 5] 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

Q2.

[Metrology & Limits, Fits, Tolerances Concept 11] 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

Protected Questions

Unlock All 5 Questions in Metrology & Limits, Fits, Tolerances

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign up free to access all 5 questions

Unlock every Metrology & Limits, Fits, Tolerances question, generate papers, and practice at your own pace.

Start free