Mixing
How to rewrite $left[ begin{array}{c|c} I_{r}otimes (K e_1) \ vdots\ I_{r}otimes (K e_n) end{array} right]$?
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I have the following matrix: $left[
begin{array}{c|c}
I_{r}otimes (K e_1) \
vdots\
I_{r}otimes (K e_n)
end{array}
right]$
$e_i$ is the i-th column of the identity matrix with the same dimensions as $K_{ntimes n}$. $otimes$ is the kronecker product.
I want to rewrite it in a way that $K$, or $vec(K)$, etc., is outside.
matrices tensor-products matrix-calculus
asked Nov 9 at 11:56
An old man in the sea.
1,59411031
add a comment |
up vote
0
down vote
favorite
I have the following matrix: $left[
begin{array}{c|c}
I_{r}otimes (K e_1) \
vdots\
I_{r}otimes (K e_n)
end{array}
right]$
$e_i$ is the i-th column of the identity matrix with the same dimensions as $K_{ntimes n}$. $otimes$ is the kronecker product.
I want to rewrite it in a way that $K$, or $vec(K)$, etc., is outside.
matrices tensor-products matrix-calculus
asked Nov 9 at 11:56
An old man in the sea.
1,59411031
$K$ is the field you are working over?
– Vincent
Nov 9 at 12:36
1
@Vincent K is another matrix
– An old man in the sea.
Nov 9 at 12:57
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have the following matrix: $left[
begin{array}{c|c}
I_{r}otimes (K e_1) \
vdots\
I_{r}otimes (K e_n)
end{array}
right]$
$e_i$ is the i-th column of the identity matrix with the same dimensions as $K_{ntimes n}$. $otimes$ is the kronecker product.
I want to rewrite it in a way that $K$, or $vec(K)$, etc., is outside.
matrices tensor-products matrix-calculus
asked Nov 9 at 11:56
An old man in the sea.
1,59411031
I have the following matrix: $left[
begin{array}{c|c}
I_{r}otimes (K e_1) \
vdots\
I_{r}otimes (K e_n)
end{array}
right]$
$e_i$ is the i-th column of the identity matrix with the same dimensions as $K_{ntimes n}$. $otimes$ is the kronecker product.
I want to rewrite it in a way that $K$, or $vec(K)$, etc., is outside.
matrices tensor-products matrix-calculus
matrices tensor-products matrix-calculus
asked Nov 9 at 11:56
An old man in the sea.
1,59411031
asked Nov 9 at 11:56
An old man in the sea.
1,59411031
edited 21 hours ago
asked Nov 9 at 11:56
An old man in the sea.
1,59411031
asked Nov 9 at 11:56
An old man in the sea.
1,59411031
asked Nov 9 at 11:56
An old man in the sea.
1,59411031
1,59411031
$K$ is the field you are working over?
– Vincent
Nov 9 at 12:36
1
@Vincent K is another matrix
– An old man in the sea.
Nov 9 at 12:57
add a comment |
$K$ is the field you are working over?
– Vincent
Nov 9 at 12:36
1
@Vincent K is another matrix
– An old man in the sea.
Nov 9 at 12:57
$K$ is the field you are working over?
– Vincent
Nov 9 at 12:36
$K$ is the field you are working over?
– Vincent
Nov 9 at 12:36
1
1
@Vincent K is another matrix
– An old man in the sea.
Nov 9 at 12:57
@Vincent K is another matrix
– An old man in the sea.
Nov 9 at 12:57
add a comment |
1 Answer
1
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oldest
votes
up vote
0
down vote
Here's my try.
$(I_notimes I_rotimes K))left[
begin{array}{c|c}
I_{r}otimes e_1 \
vdots\
I_{r}otimes e_n
end{array}
right]$
answered Nov 9 at 12:59
An old man in the sea.
1,59411031
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
Here's my try.
$(I_notimes I_rotimes K))left[
begin{array}{c|c}
I_{r}otimes e_1 \
vdots\
I_{r}otimes e_n
end{array}
right]$
answered Nov 9 at 12:59
An old man in the sea.
1,59411031
add a comment |
up vote
0
down vote
Here's my try.
$(I_notimes I_rotimes K))left[
begin{array}{c|c}
I_{r}otimes e_1 \
vdots\
I_{r}otimes e_n
end{array}
right]$
answered Nov 9 at 12:59
An old man in the sea.
1,59411031
add a comment |
up vote
0
down vote
up vote
0
down vote
Here's my try.
$(I_notimes I_rotimes K))left[
begin{array}{c|c}
I_{r}otimes e_1 \
vdots\
I_{r}otimes e_n
end{array}
right]$
answered Nov 9 at 12:59
An old man in the sea.
1,59411031
Here's my try.
$(I_notimes I_rotimes K))left[
begin{array}{c|c}
I_{r}otimes e_1 \
vdots\
I_{r}otimes e_n
end{array}
right]$
answered Nov 9 at 12:59
An old man in the sea.
1,59411031
answered Nov 9 at 12:59
An old man in the sea.
1,59411031
answered Nov 9 at 12:59
An old man in the sea.
1,59411031
answered Nov 9 at 12:59
An old man in the sea.
1,59411031
1,59411031
add a comment |
add a comment |
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$K$ is the field you are working over?
– Vincent
Nov 9 at 12:36
1
@Vincent K is another matrix
– An old man in the sea.
Nov 9 at 12:57