Recent questions tagged isisamplepapers / GATE Overflow for GATE CSE

$L1 = \{a^m b^nc^{max(m,n)} : m,n 1\}$ $L2 = \{a^{2^n}, n 1\} \cup \{a^m, m>1\}$(a) Both are regular (b) Only L2 is regular(c) Only L1 is regular (d) None of the ...

Pranav Madhani

1.1k views

Pranav Madhani asked Nov 17, 2017

2 votes

1 answer

5

ISI Sample Paper Question
Let A be a square matrix such that $A^{3}$ = 0, but $A^{2} \neq 0$. Then which of the following statements is not necessarily true? (A) $A \neq A^{2}$ (B) Eigenvalues of $A^{2}$ are all zero (C) rank(A) > rank($A^{2}$ ) (D) rank(A) > trace(A)

Let A be a square matrix such that $A^{3}$ = 0, but $A^{2} \neq 0$. Then which of the following statements is not necessarily true?(A) $A \neq A^{2}$(B) Eigenvalues of $A...

neha.i

1.5k views

neha.i asked Apr 17, 2017

4 votes

4 answers

6

ISI Sample Paper Question
A club with $n$ members is organized into four committees so that each member belongs to exactly two committees and each pair of committees has exactly one member in common. Then $n = 4$ $n = 6$ $n = 8$ $n$ cannot be determined from the given information

A club with $n$ members is organized into four committees so that each member belongs to exactly two committees and each pair of committees has exactly one member in comm...

neha.i

3.1k views

neha.i asked Apr 17, 2017

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