1
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
Let A, B, C, D be $$n\,\, \times \,\,n$$ matrices, each with non-zero determination. If ABCD = I, then $${B^{ - 1}}$$ is
A
$${D^{ - 1}}\,\,\,{C^{ - 1}}\,\,{A^{ - 1}}$$
B
CDA
C
ADC
D
Does not necessarily exist
2
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
$$A$$ system of equations represented by $$AX=0$$ where $$X$$ is a column vector of unknown and $$A$$ is a square matrix containing coefficients has a non-trival solution when $$A$$ is.
A
non-singular
B
singular
C
symmetric
D
Hermitian
3
GATE CSE 2002
MCQ (Single Correct Answer)
+1
-0.3
The rank of the matrix$$\left[ {\matrix{ 1 & 1 \cr 0 & 0 \cr } } \right]\,\,is$$
A
4
B
2
C
1
D
0
4
GATE CSE 2001
MCQ (Single Correct Answer)
+1
-0.3
Consider the following statements:
S1: The sum of two singular n x n matrices may be non-singular
S2: The sum of two n x n non-singular matrices may be singular

Which of the following statements is correct?

A
S1 and S2 are both true
B
S1 is true, S2 is false
C
S1 is false, S2 is true
D
S1 and S2 are both false
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