# Monthly Archives: March 2017

## GATE 2015 EC – SET 1 – Complete Solutions

Q1. Consider a system of linear equations :             x – 2y + 3z = –1,             x – 3y + 4z = 1, and             –2x + 4y – 6z = k. The value of k for which the system … Continue reading

## GATE 2016 EC – SET 3 (Session 4) – Complete Solutions

Q1. Consider a 2 × 2 square matrix                  where x is unknown. If the eigenvalues of the matrix A are (σ + jω ) and (σ − jω ) , then x is equal … Continue reading

## GATE 2016 EC – SET 2 (Session 3) – Complete Solutions

Q1. The value of x for which the matrix     has zero as an eigenvalue is ________ Solution: Key = 0.95 to 1.05 Q2. Consider the complex valued function f(z) = 2z3 + b|z|3where z is a complex variable. The value of b for which … Continue reading

## GATE 2016 EC – SET 1 – Complete Solutions

Q1. Let M4 = I, (where I denotes the identity matrix) and M ≠ I, M2 ≠ I and M3 ≠ I. Then, for any natural number k, M−1equals: (A) $$M^{4k+1}$$           (B) $$M^{4k+2}$$         … Continue reading

## International Conference on Engineering, Science and Applications

International Conference on Engineering, Science and Applications Tokyo, Japan August 16-18, 2017 International Conference on Engineering, Science and Applications Submission Deadline: April 30, 2017 Website: http://icesa2017.globalconf.org/ Beyond regular presentations delivered by researchers from the international community, a half-day walk tour … Continue reading

## GATE 2013 ME – Complete Solutions

Q1. The partial differential equation $$\frac{\partial u}{\partial t}+u\frac{\partial u}{\partial x}=\frac{\partial^2 u}{\partial x^2}$$ is a (A) linear equation of order 2                   (B) non-linear equation of order (C) linear equation of order 1           … Continue reading

## GATE 2014 ME – Complete Solutions

Q1. Given that the determinant of the matrix  is −12, the determinant of the matrix  is (A) -96                  (B) -24                  (C) 24         … Continue reading

## GATE 2015 ME – SET 3 – Complete Solutions

Q1. For the given fluctuating fatigue load, the values of stress amplitude and stress ratio are respectively (A) 100 MPa and 5        (B) 250 MPa and 5           (C) 100 MPa and 0.20         … Continue reading

## GATE 2015 ME – SET 2 – Complete Solutions

Q1. At least one eigenvalue of a singular matrix is (A) positive               (B) zero                (C) negative                (D) imaginary Solution: (B) … Continue reading

## GATE 2015 ME – SET 1 – Complete Solutions

Q1. If any two columns of a determinant  are interchanged, which one of the following statements regarding the value of determinant is CORRECT? (A) Absolute value remains unchanged but sign will change. (B) Both absolute value and sign will change. (C) Absolute value will … Continue reading