Simplifying expression containing a diagonal matrix
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Suppose I have the matrix expression $A*mathsf{diag}(B*C)$, where $A$ is $mathrm{3xn}$, $B$ is $mathrm{nx3}$, and $C$ is $mathrm{3x1}$.
I wish to simplify this to have the form: $mathsf{diag}(C)*D$, where $D$ is $mathrm{3xn}$. (Or any other form containing only $C$ and $D$.)
Is there some way to express $D$ in terms of $A$ and $B$ alone (not $C$)?
matrix-equations
asked Nov 13 at 10:34
8bar
417
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Suppose I have the matrix expression $A*mathsf{diag}(B*C)$, where $A$ is $mathrm{3xn}$, $B$ is $mathrm{nx3}$, and $C$ is $mathrm{3x1}$.
I wish to simplify this to have the form: $mathsf{diag}(C)*D$, where $D$ is $mathrm{3xn}$. (Or any other form containing only $C$ and $D$.)
Is there some way to express $D$ in terms of $A$ and $B$ alone (not $C$)?
matrix-equations
asked Nov 13 at 10:34
8bar
417
What is the meaning of $text{diag}(C)$ when $C$ is a $3times1$ matrix ???
– Yves Daoust
Nov 13 at 13:49
diag(C) is a 3x3 diagonal matrix with the three values of C on the main diagonal.
– 8bar
Nov 13 at 15:38
Then you shouldn't say otherwise in the question.
– Yves Daoust
Nov 13 at 16:34
Huh? No contradiction. diag(C) is 3x3 and C is 3x1. No reason to down-vote the question! See octave.org/doc/v4.0.0/Creating-Diagonal-Matrices.html
– 8bar
Nov 13 at 17:19
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
Suppose I have the matrix expression $A*mathsf{diag}(B*C)$, where $A$ is $mathrm{3xn}$, $B$ is $mathrm{nx3}$, and $C$ is $mathrm{3x1}$.
I wish to simplify this to have the form: $mathsf{diag}(C)*D$, where $D$ is $mathrm{3xn}$. (Or any other form containing only $C$ and $D$.)
Is there some way to express $D$ in terms of $A$ and $B$ alone (not $C$)?
matrix-equations
asked Nov 13 at 10:34
8bar
417
Suppose I have the matrix expression $A*mathsf{diag}(B*C)$, where $A$ is $mathrm{3xn}$, $B$ is $mathrm{nx3}$, and $C$ is $mathrm{3x1}$.
I wish to simplify this to have the form: $mathsf{diag}(C)*D$, where $D$ is $mathrm{3xn}$. (Or any other form containing only $C$ and $D$.)
Is there some way to express $D$ in terms of $A$ and $B$ alone (not $C$)?
matrix-equations
matrix-equations
asked Nov 13 at 10:34
8bar
417
asked Nov 13 at 10:34
8bar
417
edited Nov 13 at 13:20
asked Nov 13 at 10:34
8bar
417
asked Nov 13 at 10:34
8bar
417
asked Nov 13 at 10:34
8bar
417
417
What is the meaning of $text{diag}(C)$ when $C$ is a $3times1$ matrix ???
– Yves Daoust
Nov 13 at 13:49
diag(C) is a 3x3 diagonal matrix with the three values of C on the main diagonal.
– 8bar
Nov 13 at 15:38
Then you shouldn't say otherwise in the question.
– Yves Daoust
Nov 13 at 16:34
Huh? No contradiction. diag(C) is 3x3 and C is 3x1. No reason to down-vote the question! See octave.org/doc/v4.0.0/Creating-Diagonal-Matrices.html
– 8bar
Nov 13 at 17:19
add a comment |
What is the meaning of $text{diag}(C)$ when $C$ is a $3times1$ matrix ???
– Yves Daoust
Nov 13 at 13:49
diag(C) is a 3x3 diagonal matrix with the three values of C on the main diagonal.
– 8bar
Nov 13 at 15:38
Then you shouldn't say otherwise in the question.
– Yves Daoust
Nov 13 at 16:34
Huh? No contradiction. diag(C) is 3x3 and C is 3x1. No reason to down-vote the question! See octave.org/doc/v4.0.0/Creating-Diagonal-Matrices.html
– 8bar
Nov 13 at 17:19
What is the meaning of $text{diag}(C)$ when $C$ is a $3times1$ matrix ???
– Yves Daoust
Nov 13 at 13:49
What is the meaning of $text{diag}(C)$ when $C$ is a $3times1$ matrix ???
– Yves Daoust
Nov 13 at 13:49
diag(C) is a 3x3 diagonal matrix with the three values of C on the main diagonal.
– 8bar
Nov 13 at 15:38
diag(C) is a 3x3 diagonal matrix with the three values of C on the main diagonal.
– 8bar
Nov 13 at 15:38
Then you shouldn't say otherwise in the question.
– Yves Daoust
Nov 13 at 16:34
Then you shouldn't say otherwise in the question.
– Yves Daoust
Nov 13 at 16:34
Huh? No contradiction. diag(C) is 3x3 and C is 3x1. No reason to down-vote the question! See octave.org/doc/v4.0.0/Creating-Diagonal-Matrices.html
– 8bar
Nov 13 at 17:19
Huh? No contradiction. diag(C) is 3x3 and C is 3x1. No reason to down-vote the question! See octave.org/doc/v4.0.0/Creating-Diagonal-Matrices.html
– 8bar
Nov 13 at 17:19
add a comment |
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What is the meaning of $text{diag}(C)$ when $C$ is a $3times1$ matrix ???
– Yves Daoust
Nov 13 at 13:49
diag(C) is a 3x3 diagonal matrix with the three values of C on the main diagonal.
– 8bar
Nov 13 at 15:38
Then you shouldn't say otherwise in the question.
– Yves Daoust
Nov 13 at 16:34
Huh? No contradiction. diag(C) is 3x3 and C is 3x1. No reason to down-vote the question! See octave.org/doc/v4.0.0/Creating-Diagonal-Matrices.html
– 8bar
Nov 13 at 17:19