Notation for a matrix with same vector in columns
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Is there a notation for a matrix which columns are the same vector?
$$
x = left[beginarraycccx_1 & x_2 & x_3endarrayright]^T \
y = left[beginarraycccx & x & xendarrayright]
$$
Is there a proper notation for $y$?
matrices notation
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up vote
0
down vote
favorite
Is there a notation for a matrix which columns are the same vector?
$$
x = left[beginarraycccx_1 & x_2 & x_3endarrayright]^T \
y = left[beginarraycccx & x & xendarrayright]
$$
Is there a proper notation for $y$?
matrices notation
Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
â Emil
Aug 29 at 7:18
$Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
â greg
Aug 29 at 18:15
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Is there a notation for a matrix which columns are the same vector?
$$
x = left[beginarraycccx_1 & x_2 & x_3endarrayright]^T \
y = left[beginarraycccx & x & xendarrayright]
$$
Is there a proper notation for $y$?
matrices notation
Is there a notation for a matrix which columns are the same vector?
$$
x = left[beginarraycccx_1 & x_2 & x_3endarrayright]^T \
y = left[beginarraycccx & x & xendarrayright]
$$
Is there a proper notation for $y$?
matrices notation
asked Aug 29 at 6:50
Luis
31
31
Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
â Emil
Aug 29 at 7:18
$Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
â greg
Aug 29 at 18:15
add a comment |Â
Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
â Emil
Aug 29 at 7:18
$Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
â greg
Aug 29 at 18:15
Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
â Emil
Aug 29 at 7:18
Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
â Emil
Aug 29 at 7:18
$Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
â greg
Aug 29 at 18:15
$Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
â greg
Aug 29 at 18:15
add a comment |Â
2 Answers
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oldest
votes
up vote
1
down vote
accepted
The notation you have for $y$ is fine. It's common block matrix notation.
add a comment |Â
up vote
0
down vote
Sometimes I've seen it wrote like this $$left(beginmatrix |&|&|\x&x&x\|&|&|endmatrixright)$$ The form you suggested doesn't seems right to me, but I could be wrong!
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
The notation you have for $y$ is fine. It's common block matrix notation.
add a comment |Â
up vote
1
down vote
accepted
The notation you have for $y$ is fine. It's common block matrix notation.
add a comment |Â
up vote
1
down vote
accepted
up vote
1
down vote
accepted
The notation you have for $y$ is fine. It's common block matrix notation.
The notation you have for $y$ is fine. It's common block matrix notation.
answered Aug 29 at 8:19
Arthur
101k795176
101k795176
add a comment |Â
add a comment |Â
up vote
0
down vote
Sometimes I've seen it wrote like this $$left(beginmatrix |&|&|\x&x&x\|&|&|endmatrixright)$$ The form you suggested doesn't seems right to me, but I could be wrong!
add a comment |Â
up vote
0
down vote
Sometimes I've seen it wrote like this $$left(beginmatrix |&|&|\x&x&x\|&|&|endmatrixright)$$ The form you suggested doesn't seems right to me, but I could be wrong!
add a comment |Â
up vote
0
down vote
up vote
0
down vote
Sometimes I've seen it wrote like this $$left(beginmatrix |&|&|\x&x&x\|&|&|endmatrixright)$$ The form you suggested doesn't seems right to me, but I could be wrong!
Sometimes I've seen it wrote like this $$left(beginmatrix |&|&|\x&x&x\|&|&|endmatrixright)$$ The form you suggested doesn't seems right to me, but I could be wrong!
answered Aug 29 at 7:02
Davide Morgante
2,550623
2,550623
add a comment |Â
add a comment |Â
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Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
â Emil
Aug 29 at 7:18
$Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
â greg
Aug 29 at 18:15