Find a matrix of oblique projector
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How I should find this oblique projector matrix in the following task? Information at Wikipedia seems to be a little bit complicated and I haven`t found any practical examples for oblique projections.
Task:
Find a matrix of oblique projector in $R^3$ onto the subspace $U =ls{(1,0,1)^T}$ parallel to the subspace $W = ls{(1,1,0)^T, (0,1,1)^T}$.
projection projection-matrices
asked Dec 1 '18 at 16:54
MichaelMichael
1055
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add a comment |
$begingroup$
How I should find this oblique projector matrix in the following task? Information at Wikipedia seems to be a little bit complicated and I haven`t found any practical examples for oblique projections.
Task:
Find a matrix of oblique projector in $R^3$ onto the subspace $U =ls{(1,0,1)^T}$ parallel to the subspace $W = ls{(1,1,0)^T, (0,1,1)^T}$.
projection projection-matrices
asked Dec 1 '18 at 16:54
MichaelMichael
1055
$endgroup$
add a comment |
$begingroup$
How I should find this oblique projector matrix in the following task? Information at Wikipedia seems to be a little bit complicated and I haven`t found any practical examples for oblique projections.
Task:
Find a matrix of oblique projector in $R^3$ onto the subspace $U =ls{(1,0,1)^T}$ parallel to the subspace $W = ls{(1,1,0)^T, (0,1,1)^T}$.
projection projection-matrices
asked Dec 1 '18 at 16:54
MichaelMichael
1055
$endgroup$
How I should find this oblique projector matrix in the following task? Information at Wikipedia seems to be a little bit complicated and I haven`t found any practical examples for oblique projections.
Task:
Find a matrix of oblique projector in $R^3$ onto the subspace $U =ls{(1,0,1)^T}$ parallel to the subspace $W = ls{(1,1,0)^T, (0,1,1)^T}$.
projection projection-matrices
projection projection-matrices
asked Dec 1 '18 at 16:54
MichaelMichael
1055
asked Dec 1 '18 at 16:54
MichaelMichael
1055
asked Dec 1 '18 at 16:54
MichaelMichael
1055
asked Dec 1 '18 at 16:54
MichaelMichael
1055
asked Dec 1 '18 at 16:54
MichaelMichael
1055
1055
add a comment |
add a comment |
1 Answer
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HINTS: “onto the subspace $U$” means that the projector is the identity map on $U$, while “parallel to the subspace $W$” means that $W$ is the kernel of the projector. Construct a simple matrix that has the requisite rank and apply a change of basis to it.
answered Dec 2 '18 at 1:30
amdamd
29.4k21050
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1 Answer
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1 Answer
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active
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$begingroup$
HINTS: “onto the subspace $U$” means that the projector is the identity map on $U$, while “parallel to the subspace $W$” means that $W$ is the kernel of the projector. Construct a simple matrix that has the requisite rank and apply a change of basis to it.
answered Dec 2 '18 at 1:30
amdamd
29.4k21050
$endgroup$
add a comment |
$begingroup$
HINTS: “onto the subspace $U$” means that the projector is the identity map on $U$, while “parallel to the subspace $W$” means that $W$ is the kernel of the projector. Construct a simple matrix that has the requisite rank and apply a change of basis to it.
answered Dec 2 '18 at 1:30
amdamd
29.4k21050
$endgroup$
add a comment |
$begingroup$
HINTS: “onto the subspace $U$” means that the projector is the identity map on $U$, while “parallel to the subspace $W$” means that $W$ is the kernel of the projector. Construct a simple matrix that has the requisite rank and apply a change of basis to it.
answered Dec 2 '18 at 1:30
amdamd
29.4k21050
$endgroup$
HINTS: “onto the subspace $U$” means that the projector is the identity map on $U$, while “parallel to the subspace $W$” means that $W$ is the kernel of the projector. Construct a simple matrix that has the requisite rank and apply a change of basis to it.
answered Dec 2 '18 at 1:30
amdamd
29.4k21050
answered Dec 2 '18 at 1:30
amdamd
29.4k21050
answered Dec 2 '18 at 1:30
amdamd
29.4k21050
answered Dec 2 '18 at 1:30
amdamd
29.4k21050
29.4k21050
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