Sum of the singular and nonsingular matrix [on hold]












-2














We assume that matrix $Ain mathbb{R}^{ntimes n}$ is singular and matrix $Bin mathbb{R}^{ntimes n}$ is nonsingular. When we can say that the matrix $A+B$ is nonsingualar?










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put on hold as off-topic by Eevee Trainer, Saad, RRL, Lord Shark the Unknown, KReiser 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Saad, RRL, Lord Shark the Unknown, KReiser

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  • There really isn't any connection (as far as singularity is concerned) between $mathbf A$, $mathbf B$, and $mathbf A+mathbf B$, in the same way that there isn't a "neat" formula for $text{det}(mathbf A+mathbf B)$
    – glowstonetrees
    Dec 26 at 9:26
















-2














We assume that matrix $Ain mathbb{R}^{ntimes n}$ is singular and matrix $Bin mathbb{R}^{ntimes n}$ is nonsingular. When we can say that the matrix $A+B$ is nonsingualar?










share|cite|improve this question













put on hold as off-topic by Eevee Trainer, Saad, RRL, Lord Shark the Unknown, KReiser 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Saad, RRL, Lord Shark the Unknown, KReiser

If this question can be reworded to fit the rules in the help center, please edit the question.













  • There really isn't any connection (as far as singularity is concerned) between $mathbf A$, $mathbf B$, and $mathbf A+mathbf B$, in the same way that there isn't a "neat" formula for $text{det}(mathbf A+mathbf B)$
    – glowstonetrees
    Dec 26 at 9:26














-2












-2








-2







We assume that matrix $Ain mathbb{R}^{ntimes n}$ is singular and matrix $Bin mathbb{R}^{ntimes n}$ is nonsingular. When we can say that the matrix $A+B$ is nonsingualar?










share|cite|improve this question













We assume that matrix $Ain mathbb{R}^{ntimes n}$ is singular and matrix $Bin mathbb{R}^{ntimes n}$ is nonsingular. When we can say that the matrix $A+B$ is nonsingualar?







linear-algebra






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 26 at 9:22









M. Raha

81




81




put on hold as off-topic by Eevee Trainer, Saad, RRL, Lord Shark the Unknown, KReiser 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Saad, RRL, Lord Shark the Unknown, KReiser

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by Eevee Trainer, Saad, RRL, Lord Shark the Unknown, KReiser 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Saad, RRL, Lord Shark the Unknown, KReiser

If this question can be reworded to fit the rules in the help center, please edit the question.












  • There really isn't any connection (as far as singularity is concerned) between $mathbf A$, $mathbf B$, and $mathbf A+mathbf B$, in the same way that there isn't a "neat" formula for $text{det}(mathbf A+mathbf B)$
    – glowstonetrees
    Dec 26 at 9:26


















  • There really isn't any connection (as far as singularity is concerned) between $mathbf A$, $mathbf B$, and $mathbf A+mathbf B$, in the same way that there isn't a "neat" formula for $text{det}(mathbf A+mathbf B)$
    – glowstonetrees
    Dec 26 at 9:26
















There really isn't any connection (as far as singularity is concerned) between $mathbf A$, $mathbf B$, and $mathbf A+mathbf B$, in the same way that there isn't a "neat" formula for $text{det}(mathbf A+mathbf B)$
– glowstonetrees
Dec 26 at 9:26




There really isn't any connection (as far as singularity is concerned) between $mathbf A$, $mathbf B$, and $mathbf A+mathbf B$, in the same way that there isn't a "neat" formula for $text{det}(mathbf A+mathbf B)$
– glowstonetrees
Dec 26 at 9:26















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