Mixing
Two matrices have the same eigenvalue …
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This is an testexam question and that requires true or false and some explanataion.
2 (n x n) matrices have the same eigenvalue Pi, does A - B have eigenvalue 0?
linear-algebra eigenvalues-eigenvectors
asked Jan 20 at 14:54
TournaTourna
126
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add a comment |
$begingroup$
This is an testexam question and that requires true or false and some explanataion.
2 (n x n) matrices have the same eigenvalue Pi, does A - B have eigenvalue 0?
linear-algebra eigenvalues-eigenvectors
asked Jan 20 at 14:54
TournaTourna
126
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1
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No. In fact, the sum of two singular matrices may not be singular.
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– Saucy O'Path
Jan 20 at 15:03
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@SaucyO'Path Can you elaborate on that please? It was an exam question and didn't really understand how to prove it wrong
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– Tourna
Jan 20 at 15:08
add a comment |
$begingroup$
This is an testexam question and that requires true or false and some explanataion.
2 (n x n) matrices have the same eigenvalue Pi, does A - B have eigenvalue 0?
linear-algebra eigenvalues-eigenvectors
asked Jan 20 at 14:54
TournaTourna
126
$endgroup$
This is an testexam question and that requires true or false and some explanataion.
2 (n x n) matrices have the same eigenvalue Pi, does A - B have eigenvalue 0?
linear-algebra eigenvalues-eigenvectors
linear-algebra eigenvalues-eigenvectors
asked Jan 20 at 14:54
TournaTourna
126
asked Jan 20 at 14:54
TournaTourna
126
edited Jan 20 at 15:07
Tourna
asked Jan 20 at 14:54
TournaTourna
126
asked Jan 20 at 14:54
TournaTourna
126
asked Jan 20 at 14:54
TournaTourna
126
126
1
$begingroup$
No. In fact, the sum of two singular matrices may not be singular.
$endgroup$
– Saucy O'Path
Jan 20 at 15:03
$begingroup$
@SaucyO'Path Can you elaborate on that please? It was an exam question and didn't really understand how to prove it wrong
$endgroup$
– Tourna
Jan 20 at 15:08
add a comment |
1
$begingroup$
No. In fact, the sum of two singular matrices may not be singular.
$endgroup$
– Saucy O'Path
Jan 20 at 15:03
$begingroup$
@SaucyO'Path Can you elaborate on that please? It was an exam question and didn't really understand how to prove it wrong
$endgroup$
– Tourna
Jan 20 at 15:08
1
1
$begingroup$
No. In fact, the sum of two singular matrices may not be singular.
$endgroup$
– Saucy O'Path
Jan 20 at 15:03
$begingroup$
No. In fact, the sum of two singular matrices may not be singular.
$endgroup$
– Saucy O'Path
Jan 20 at 15:03
$begingroup$
@SaucyO'Path Can you elaborate on that please? It was an exam question and didn't really understand how to prove it wrong
$endgroup$
– Tourna
Jan 20 at 15:08
$begingroup$
@SaucyO'Path Can you elaborate on that please? It was an exam question and didn't really understand how to prove it wrong
$endgroup$
– Tourna
Jan 20 at 15:08
add a comment |
1 Answer
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$begingroup$
$$A=begin{pmatrix}
pi &0 \
0 &0
end{pmatrix},
B=begin{pmatrix}
0 &0\
0 &pi
end{pmatrix}.$$
answered Jan 20 at 15:12
ScientificaScientifica
6,79641335
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add a comment |
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$begingroup$
$$A=begin{pmatrix}
pi &0 \
0 &0
end{pmatrix},
B=begin{pmatrix}
0 &0\
0 &pi
end{pmatrix}.$$
answered Jan 20 at 15:12
ScientificaScientifica
6,79641335
$endgroup$
add a comment |
$begingroup$
$$A=begin{pmatrix}
pi &0 \
0 &0
end{pmatrix},
B=begin{pmatrix}
0 &0\
0 &pi
end{pmatrix}.$$
answered Jan 20 at 15:12
ScientificaScientifica
6,79641335
$endgroup$
add a comment |
$begingroup$
$$A=begin{pmatrix}
pi &0 \
0 &0
end{pmatrix},
B=begin{pmatrix}
0 &0\
0 &pi
end{pmatrix}.$$
answered Jan 20 at 15:12
ScientificaScientifica
6,79641335
$endgroup$
$$A=begin{pmatrix}
pi &0 \
0 &0
end{pmatrix},
B=begin{pmatrix}
0 &0\
0 &pi
end{pmatrix}.$$
answered Jan 20 at 15:12
ScientificaScientifica
6,79641335
answered Jan 20 at 15:12
ScientificaScientifica
6,79641335
answered Jan 20 at 15:12
ScientificaScientifica
6,79641335
answered Jan 20 at 15:12
ScientificaScientifica
6,79641335
6,79641335
add a comment |
add a comment |
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1
$begingroup$
No. In fact, the sum of two singular matrices may not be singular.
$endgroup$
– Saucy O'Path
Jan 20 at 15:03
$begingroup$
@SaucyO'Path Can you elaborate on that please? It was an exam question and didn't really understand how to prove it wrong
$endgroup$
– Tourna
Jan 20 at 15:08