1
GATE CE 2000
+1
-0.3
If $$A,B,C$$ are square matrices of the same order then $${\left( {ABC} \right)^{ - 1}}$$ is equal be
A
$${C^{ - 1}}\,{A^{ - 1}}\,{B^{ - 1}}$$
B
$${C^{ - 1}}\,{B^{ - 1}}\,{A^{ - 1}}$$
C
$${A^{ - 1}}\,{B^{ - 1}}\,{C^{ - 1}}$$
D
$${A^{ - 1}}\,{C^{ - 1}}\,{B^{ - 1}}$$
2
GATE CE 1999
+1
-0.3
If $$A$$ is any $$nxn$$ matrix and $$k$$ is a scalar then $$\left| {kA} \right| = \alpha \left| A \right|$$ where $$\alpha$$ is
A
$$kn$$
B
$${n^k}$$
C
$${k^n}$$
D
$${k \over n}$$
3
GATE CE 1999
+1
-0.3
The number of terms in the expansion of general determinant of order $$n$$ is
A
$${n^2}$$
B
$$n!$$
C
$$n$$
D
$${\left( {n + 1} \right)^2}$$
4
GATE CE 1999
+1
-0.3
The equation $$\left[ {\matrix{ 2 & 1 & 1 \cr 1 & 1 & { - 1} \cr y & {{x^2}} & x \cr } } \right] = 0$$ represents a parabola passing through the points.
A
$$(0, 1), (0, 2), (0, -1)$$
B
$$(0, 0), (-1, 1), (1, 2)$$
C
$$(1, 1), (0, 0), (2, 2)$$
D
$$(1, 2), (2, 1), (0, 0)$$
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Irrigation
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Joint Entrance Examination