Possible webpage title: Solving for eABC/2 in a Probability Density Function

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SUMMARY

The discussion centers on solving the expression e^(ABC/2) within a probability density function defined as 1 / (D x E . e^(ABC/2)). Here, D is a scalar, E is a determinant of a matrix, A is a 5x1 vector, B is a 5x5 matrix, and C is a 5x1 vector. The primary challenge is understanding how to compute e^(ABC/2) when it involves matrix operations, particularly the dot product between vectors. The conclusion suggests that ABC can be treated as a scalar, while BC is a vector, indicating that the final computation involves a dot product of A with BC.

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mikedamike
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Hi,

I have a probability density function defined by

1 / D x E . eABC/2

D is a single number
E is a determinant of a matrix
. is the dot product between the two sides of the function
e I am pretty sure is meant to be eulers constant
A is a 5x1 vector
B is a 5 x 5 matrix
C is a 5x1 vector

To my understanding eulers constant can only be raised to the power of a single number
My question is that how can the second half of the equation be solved if i require eABC/2 (which is effectivly a 5x1 matrix / 2)?

Can anyone help me with this ?

Thanks in advance
Regards
Mike
 
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ABC looks like a scalar to me. BC is a vector, so I presume that the last step is a dot product of A with BC.
 

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