Sunday, January 31, 2010

Matrix Set Floor How Do I Find The Set Of Critical Points Of This Function From Its Jacobian Matrix?

How do i find the set of critical points of this function from its jacobian matrix? - matrix set floor

Function f (x, y, z) = (2x +3 y + z, x-5y 2 z, x-3x)

I worked with the Jacobian as a 3x3 matrix:
top row [2, 3, 1]
Middle row [1, -5, 2]
Lower row [1, -1, -3]

How do I find all the critical points depends on it?

1 comments:

Michael T said...

The Jacobian matrix provides information on the local information about a feature in the vicinity of a point. There is the global number of critical information.

Define what you mean by "hot spots" and "Jacobian. This is a linear function, and to my knowledge, no critical points. Moreover, this transformation is invertible, so that the zero is the point (x, y, z ) = (0,0,0).

I suspect that something else is requested. Please include some details.

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