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epsi00
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How do we go about finding the transformation that was used to go from one matrix to another ( provided of course that the two are linked by a transformation) in general if all we have is two matrices.
nomadreid said:However, could it be that epsi00 is asking a more general and basic question, that is, given an n x m matrix A and a n x p matrix B such that A and B are not necessarily equivalent, how does one find the m x p matrix C such that AC = B? That is, how to find C = A-1B?
To find a transformation between two matrices, you can use various methods such as row operations, Gaussian elimination, or matrix multiplication. It ultimately depends on the specific problem and what is being transformed.
The purpose of finding a transformation between two matrices is to identify a relationship between them and to determine how one matrix can be transformed into the other. This can be useful in solving systems of equations, understanding patterns and trends in data, and performing geometric transformations.
Matrix transformation is the process of changing the values or structure of a matrix through various operations. This can include scaling, rotating, translating, or shearing the matrix. It is commonly used in mathematics, computer graphics, and engineering to model and analyze real-world situations.
Yes, there are limitations to finding a transformation between two matrices. For example, the two matrices must have the same dimensions in order to be transformed using matrix multiplication. Additionally, certain transformations may not be possible or may result in non-invertible matrices.
To verify if a transformation between two matrices is correct, you can use matrix multiplication to apply the transformation to the first matrix and see if it results in the second matrix. Another method is to graph the points represented by the matrices and visually compare the transformations.