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Karate Chop
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when you're multiplying two matrices together does it affect the answer at all if you swap the columns around in one of the matrices?
Karate Chop said:when you're multiplying two matrices together does it affect the answer at all if you swap the columns around in one of the matrices?
:rofl: :rofl: :rofl: :rofl: :rofl:HallsofIvy said:And that has what to do with the question?
Sometimes it does. Such as the square of a matrix.E.g. A(BC) equals (AB)C but AB does not equal BA.
Apologises for misunderstanding the question. Glad to feel I can make mistakes and not have my gut knotted.HallsofIvy said:And that has what to do with the question?
Matrix multiplication is a mathematical operation where two matrices are multiplied together to produce a new matrix. It is used to transform data and solve complex equations in various fields such as engineering, physics, and computer science.
Column swapping in matrix multiplication refers to the process of exchanging the columns of one matrix with another. This operation can affect the resulting matrix by changing its values and altering the solution to the equation being solved.
Column swapping is used in matrix multiplication to simplify calculations and reduce errors. By rearranging the columns, we can transform the original equation into a more manageable form, making it easier to solve and understand.
Column swapping can only be performed on square matrices, meaning the number of rows and columns must be equal. Additionally, it can only be done on matrices that are compatible for multiplication, with the number of columns in the first matrix being equal to the number of rows in the second matrix.
No, column swapping can only be applied to square matrices. It cannot be used on rectangular or non-square matrices, as they do not have an equal number of rows and columns.