ExamSIDE
Questions (Powered by ExamGOAL)
Engineering Mathematics
Probability and Statistics
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
Calculus
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
Linear Algebra
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
Previous Next
1
GATE CE 2022 Set 2
MCQ (More than One Correct Answer)
+1
-0

P and Q are two square matrices of the same order. Which of the following statements is/are correct?

A
If P and Q are invertible, then$${[PQ]^{ - 1}} = {Q^{ - 1}}{P^{ - 1}}$$.
B
If P and Q are invertible, then $${[PQ]^{ - 1}} = {P^{ - 1}}{Q^{ - 1}}$$.
C
If P and Q are invertible, then $${[QP]^{ - 1}} = {P^{ - 1}}{Q^{ - 1}}$$.
D
If P and Q are not invertible, then $${[PQ]^{ - 1}} = {Q^{ - 1}}{P^{ - 1}}$$.
2
GATE CE 2022 Set 1
MCQ (More than One Correct Answer)
+1
-0

The matrix M is defined as

$$M = \left[ {\matrix{ 1 & 3 \cr 4 & 2 \cr } } \right]$$

and has eigenvalues 5 and $$-$$2. The matrix Q is formed as

Q = M3 $$-$$ 4M2 $$-$$ 2M

Which of the following is/are the eigenvalue(s) of matrix Q?

A
15
B
25
C
$$-$$20
D
$$-$$30
3
GATE CE 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The Cartesian coordinates of a point P in a right-handed coordinate system are (1, 1, 1). The transformed coordinates of P due to a 45$$^\circ$$ clockwise rotation of the coordinate system about the positive x-axis are

A
(1, 0, $$\sqrt 2 $$)
B
(1, 0, $$-$$$$\sqrt 2 $$)
C
($$-$$1, 0, $$\sqrt 2 $$)
D
($$-$$1, 0, $$-$$$$\sqrt 2 $$)
4
GATE CE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider the following simultaneous equations (with $${c_1}$$ and $${c_2}$$ being constants): $$$3{x_1} + 2{x_2} = {c_1}$$$ $$$4{x_1} + {x_2} = {c_2}$$$

The characteristic equation for these simultaneous equation is

A
$${\lambda ^2} - 4\lambda - 5 = 0$$
B
$${\lambda ^2} 4\lambda + 5 = 0$$
C
$${\lambda ^2} + 4\lambda - 5 = 0$$
D
$${\lambda ^2} + 4\lambda + 5 = 0$$
Previous Next
Questions Asked from Marks 1
GATE CE 2025 Set 2 (1) GATE CE 2025 Set 1 (2) GATE CE 2024 Set 2 (1) GATE CE 2023 Set 2 (1) GATE CE 2023 Set 1 (1) GATE CE 2022 Set 2 (3) GATE CE 2022 Set 1 (2) GATE CE 2017 Set 2 (1) GATE CE 2017 Set 1 (1) GATE CE 2016 Set 1 (1) GATE CE 2015 Set 1 (1) GATE CE 2015 Set 2 (1) GATE CE 2014 Set 2 (2) GATE CE 2014 Set 1 (2) GATE CE 2012 (1) GATE CE 2009 (2) GATE CE 2008 (3) GATE CE 2006 (1) GATE CE 2005 (4) GATE CE 2004 (2) GATE CE 2003 (1) GATE CE 2002 (1) GATE CE 2001 (3) GATE CE 2000 (2) GATE CE 1999 (3) GATE CE 1998 (4) GATE CE 1997 (3)
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Hydrology
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude