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In mathematics, an '''inverse operation''' is an operation reversing the effect of another operation. Addition and subtraction, as well as multiplication and division are inverse operations.

In [[mathematics]], an '''inverse operation''' is an operation reversing the effect of another operation. [[Addition]] and [[subtraction]], as well as [[multiplication]] and [[division]] are inverse operations.

This is quite noticeable when investigating matrices. Because division is impossible when analysing matrices, a matrix called the 'inverse matrix' is used. The inverse matrix has the property such that the matrix, multiplied by the inverse matrix equals the identity matrix ([I], the matrix which contains 1s on the topleft-bottomright diagonal, and zeros everywhere else), the matrix-equivalent of 1. For example, consider the matrix equation: [A][B]=[C] to put this into the form [A]= , one must use the inverse matrix of [B] (usuallly represented by B with the superscript -1). [A][B][B^-1]=[C][B^-1] Because [B][B^-1]=[I], [A]=[C][B^-1]. This operation is only possible because of inverse operations.

This is quite noticeable when investigating [[matrix|matrices]]. Because division is impossible when analysing matrices, a matrix called the '[[inverse matrix]]' is used. The inverse matrix has the property such that the matrix, multiplied by the inverse matrix equals the [[identity matrix]] ([I], the matrix which contains 1s on the topleft-bottomright diagonal, and zeros everywhere else), the matrix-equivalent of 1. For example, consider the matrix equation: [A][B]=[C] to put this into the form [A]= , one must use the inverse matrix of [B] (usuallly represented by B with the superscript -1). [A][B][B^-1]=[C][B^-1] Because [B][B^-1]=[I], [A]=[C][B^-1]. This operation is only possible because of inverse operations.

[[Category:Mathematics]]

[[Category:Mathematics]]