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buzzee
  • Member for 6 years, 8 months
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16 votes
7 answers
89k views

Example of a relation that is symmetric and transitive, but not reflexive [duplicate]

3 votes
1 answer
26k views

Is it okay to determine pivot positions in a matrix in echelon form, not in reduced echelon form?

8 votes
5 answers
18k views

Example of a relation that is reflexive but not symmetric [duplicate]

6 votes
4 answers
17k views

Proof of $n(n^2+5)$ is divisible by 6 for all integer $n \ge 1$ by mathematical induction

8 votes
1 answer
16k views

Is there no difference between upper triangular matrix and echelon matrix(row echelon matrix)?

0 votes
4 answers
16k views

Proof of $7^n-2^n$ is divisible by 5 for each integer $n \ge 1$ by mathematical induction.

0 votes
1 answer
13k views

Prove that $1 + nx ≤ (1 + x)^n$ , for all real numbers $x > −1$ and integers $n ≥ 2$ by mathematical induction. [duplicate]

0 votes
1 answer
7k views

Prove the general inclusion-exclusion rule via mathematical induction

1 vote
2 answers
5k views

Why polynomial functions f(x)+g(x) = (f+g)(x)?

7 votes
1 answer
5k views

Why zero is a multiple of every integer, but not a divisor of zero?

2 votes
4 answers
4k views

How to prove $5^n − 1$ is divisible by 4, for each integer n ≥ 0 by mathematical induction?

1 vote
1 answer
3k views

proof of Generalized De Morgan's Laws by mathematical induction

6 votes
4 answers
3k views

What's the benefit of using strong induction when it's replaceable by weak induction?

1 vote
5 answers
3k views

Proving a relation on Z×(Z-{0}) is an equivalence relation

2 votes
2 answers
3k views

How to list elements of $\Bbb Z_j=\{x \in \Bbb Z\,|\, x-j=km \text{ for some } k \in \Bbb Z\}$ from its set builder notation?

1 vote
2 answers
2k views

Proof of R is transitive if and only if $R^{-1}$ is transitive.

0 votes
2 answers
2k views

Proving the existence part of the quotient-remainder theorem for integers $n ≥ 0$ by mathematical induction

0 votes
0 answers
2k views

How many solutions to a $4\times 7$ consistent linear system?

6 votes
2 answers
2k views

Anybody knows a proof of Uniqueness of the Reduced Echelon Form Theorem?

1 vote
0 answers
2k views

Listing elements from set builder notation $\Bbb Z_0'= \{x \in \Bbb Z\,|\, x=km \text{ for any } k \in \Bbb Z\}$?

0 votes
1 answer
2k views

Which is the correct notation for denoting Dom(f)? X, {$x∈X$|(x, y)$\in f$ for some y}, or {$x ∈ X$ : $∃y(y ∈Y$ ∧ (x, y) $∈ f$)}

2 votes
4 answers
2k views

Using a truth table to show that an argument form $(p\rightarrow q) \land q \rightarrow p$ is invalid.

0 votes
1 answer
1k views

Proof of Generalized Distributive Laws by mathematical induction

0 votes
1 answer
1k views

Am I correct on my answers on sample space and probability?

3 votes
1 answer
1k views

What is the probability that if n =39 a randomly chosen array element is in A[$\lfloor n/2 \rfloor$], A[$\lfloor n/2 \rfloor$ + 1], . . . , A[n]?

4 votes
2 answers
944 views

Why is {1, 2, 3} an equivalence relation?

0 votes
1 answer
680 views

Is this inclusion-exclusion rule for counting elements of finite unions true?

2 votes
2 answers
639 views

Is it correct to say gcd$(r, 0)$? The definition says greatest common divisor of nonzero integers.

3 votes
3 answers
615 views

Proof of for all integer $n \ge 2$, $n^3-n$ is divisible by 6 by mathematical induction.

0 votes
2 answers
460 views

Proof or disproof (by a counter example) of A×B⊆C×D if and only if A⊆C and B⊆D