A = si + B, where A and B are SPD

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In summary, the question being asked is about constraints for expressing an SPD matrix A as sI + B or I + B, and whether the post is appropriate for the forum. The post is in the wrong section, and the relevant equations and work on the problem have not been provided.
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rtaylor
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I would like to express an SPD matrix A as:

A = sI + B

where B is also SPD, or alternatively as:

A = I + B

what constraints need to be imposed on B?
Please let me know if this question is mot appropriate for this forum.

thanks,

Russ
 
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  • #2
rtaylor said:
Please let me know if this question is mot appropriate for this forum.
This question is appropriate for this website as a whole, but it is not appropriate for where you posted it. This looks like homework, so you should have posted this in our homework section. That this is a misplaced homework question is one of the reasons you have not received any responses. If you had made your post in the homework section you would have been prompted to specify the relevant equations and to show some work on the problem.

So, what are the relevant equations, and what work have you yourself done to solve this problem?
 

FAQ: A = si + B, where A and B are SPD

What is the meaning of "A = si + B, where A and B are SPD"?

"A = si + B, where A and B are SPD" is a mathematical equation that represents the relationship between two variables, A and B. The letter A stands for the dependent variable, while B represents the independent variable. SPD refers to the units used for each variable, where S stands for space and D stands for time.

How do you determine the value of A and B in the equation?

The values of A and B can be determined by conducting experiments or collecting data. A is dependent on B, so you can manipulate the value of B and observe how it affects the value of A. This allows you to establish a mathematical relationship between the two variables and determine the values of A and B.

Can the equation "A = si + B" be used to predict future values?

Yes, the equation "A = si + B" can be used to predict future values as long as the relationship between A and B remains constant. By using the known values of A and B, you can solve for the unknown value of A for a given value of B, which can help predict future outcomes.

What are some real-world applications of the equation "A = si + B"?

The equation "A = si + B" has many real-world applications, especially in the fields of physics and engineering. It can be used to calculate the distance traveled by an object over time, determine the speed of an object, or predict the growth of a population over time. It can also be applied in areas such as economics, biology, and chemistry.

Can the equation "A = si + B" be modified to include more variables?

Yes, the equation "A = si + B" can be modified to include more variables. For example, if there is another variable C that also affects the value of A, the equation can be written as "A = si + B + C". This allows for a more complex relationship between the variables and can be used to better model real-world situations.

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