523 reputation
315
bio website redpanda.nl
location Netherlands
age
visits member for 3 years
seen 2 days ago

Jul
3
awarded  Popular Question
Jul
2
awarded  Curious
May
21
awarded  Nice Question
May
20
revised What is the chance of obtaining 27 sets in the card game Set?
added 5 characters in body
May
14
awarded  Promoter
May
12
revised What is the chance of obtaining 27 sets in the card game Set?
added 5 characters in body
May
12
revised What is the chance of obtaining 27 sets in the card game Set?
deleted 3 characters in body
May
11
asked What is the chance of obtaining 27 sets in the card game Set?
Apr
18
accepted Solve for unknown matrix $S = M + \Lambda S \Lambda$
Apr
17
comment Solve for unknown matrix $S = M + \Lambda S \Lambda$
Yes, $M_{11}$ happens to be zero (in fact the entire first row of $M$ is zero, but the other bits of $M$ are arbitrary). This means that $S_{11} = \frac{0}{0}$, but I don't see why this would be defined as zero in this case?
Apr
17
comment Solve for unknown matrix $S = M + \Lambda S \Lambda$
Thanks! Hmm, $\Lambda_{11} = 1$, all other $\Lambda_{ii} < 1$. However, the value of $S_{11}$ (in fact the entire first column $S_{i1}$) seems to be irrelevant in my case, since $S$ is eventually post-multiplied by a column vector whose first entry is $0$ (I didn't mention this because it didn't seem relevant).
Apr
17
asked Solve for unknown matrix $S = M + \Lambda S \Lambda$
Apr
17
revised Closed form expression for an infinite sum of a product of matrices
added 19 characters in body
Apr
16
revised Closed form expression for an infinite sum of a product of matrices
added 16 characters in body
Apr
16
revised Closed form expression for an infinite sum of a product of matrices
added 338 characters in body
Apr
16
revised Closed form expression for an infinite sum of a product of matrices
deleted 3 characters in body
Apr
16
comment Closed form expression for an infinite sum of a product of matrices
@MatemáticosChibchas Ok, but $A$ can be diagonalized (e.g. $A = V \Lambda V^{-1}$ such that $A^k = V \Lambda^k V^{-1}$), which results in $V \left( \sum_{k=0}^\infty \Lambda^k \bar{M} \Lambda^k \bar{N} \Lambda^k \right) V^{-1}$.
Apr
15
revised Closed form expression for an infinite sum of a product of matrices
deleted 37 characters in body
Apr
15
revised Closed form expression for an infinite sum of a product of matrices
deleted 18 characters in body
Apr
15
comment Closed form expression for an infinite sum of a product of matrices
@user7530 It is the spectral radius of the matrix $A$, its maximum eigenvalue.