# 60 Questions

2
7
1
112
views

2
6
1
54
views

7
5
3
103
views

5
4
312
views

1
5
6
5k
views

3
4
1
83
views

1
4
0
161
views

### Prove that if every linear operator which commutes with $T$ is a polynomial in $T$, then $T$ admits a cyclic vector $v$ in $V$ (finite dimensional). [duplicate]

Sep 12 '18 at 22:22 Saad 626
4
3
3
116
views

2
3
1
68
views

3
3
115
views

3
2
71
views

3
3
121
views

2
0
32
views

### Two random variables $U$, $V$ such that the conditional distribution of $U$ given $V = v$ is $ve^{-u}$ for $u > ln(v)$. Prove the following:

Aug 12 at 17:09 Saad 626
1
2
0
39
views

### Application of the cyclic decomposition theorem to a linear transformation

Dec 17 at 5:22 Saad 21.2k
1
2
1
97
views

2
2
3
47
views

2
3
65
views

2
1
134
views

1
2
1
139
views

2
1
396
views

1
vote
2
57
views

1
1
vote
0
43
views

### Writing down consecutive natural numbers until a certain number of digits $k$ is reached.

Jan 15 at 21:24 Saad 626
1
1
vote
1
49
views

1
1
vote
2
114
views

1
vote
2
188
views

1
vote
2
64
views

1
vote
1
54
views

1
vote
1
24
views

1
1
vote
3
45
views

1
vote
1