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*The multiplicative inverse of a number is the number which when multiplied to the original number makes 1, the multiplicative identity. Another word for multiplicative inverse is reciprocal. The multiplicative inverse is equal to 1 divided by that number, so the multiplicative inverse of 4 is 1/4 or 0.25.
*The multiplicative inverse of a number is the number which when multiplied to the original number makes 1, the multiplicative identity. Another word for multiplicative inverse is reciprocal. The multiplicative inverse is equal to 1 divided by that number, so the multiplicative inverse of 4 is 1/4 or 0.25.
*The inverse of a square matrix is the matrix which when multiplied by the original makes the identity matrix ''I'', that is the matrix with 1s on its main diagonal and 0s elsewhere. Not all square matrices have an inverse and those that don't are called singular. Determining an inverse of a matrix is a laborious task of arithmetic, particularly for larger matrices, and ideally suited to computers.
*The [[inverse matrix|inverse]] of a square matrix is the matrix which when multiplied by the original makes the identity matrix ''I'', that is the matrix with 1s on its main diagonal and 0s elsewhere. Not all square matrices have an inverse and those that don't are called singular. Determining an inverse of a matrix is a laborious task of arithmetic, particularly for larger matrices, and ideally suited to computers.
*The inverse of a function is a function that reverses the action of the original function. Not all functions are invertible; for example the square of both -3 and 3 is 9, so if we were to reverse this, by square rooting, we would have to decide whether to return from 9 back to the 3 or the -3. This problem can be solved by limiting the domain of the original function (in our example to non-negative numbers). Composing a function with its inverse yields the identity function.
*The inverse of a function is a function that reverses the action of the original function. Not all functions are invertible; for example the square of both -3 and 3 is 9, so if we were to reverse this, by square rooting, we would have to decide whether to return from 9 back to the 3 or the -3. This problem can be solved by limiting the domain of the original function (in our example to non-negative numbers). Composing a function with its inverse yields the identity function.
[[category:mathematics]]
[[category:mathematics]]