Inverse operations are just the operation backwards. Example: You do the operation of going to school. The inverse would be going from school to home. Now that you understand the concept of inverse, you just have to apply it to numbers. If you start with 6, and add 4 to get to 10, then the inverse would be to subtract 4 from 10 which would put you at your starting number. *Remember that any number multiplied by its reciprocal is 1.
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Addition and subtraction are inverse operations. So you can solve addition by subtracting.
Isolate the variable
Starting with the square matrix A, create the augmented matrix AI = [A:I] which represents the columns of A followed by the columns of I, the identity matrix.Using elementary row operations only (no column operations), convert the left half of the matrix to the identity matrix. The right half, which started off as I, will now be the inverse of A.Starting with the square matrix A, create the augmented matrix AI = [A:I] which represents the columns of A followed by the columns of I, the identity matrix.Using elementary row operations only (no column operations), convert the left half of the matrix to the identity matrix. The right half, which started off as I, will now be the inverse of A.Starting with the square matrix A, create the augmented matrix AI = [A:I] which represents the columns of A followed by the columns of I, the identity matrix.Using elementary row operations only (no column operations), convert the left half of the matrix to the identity matrix. The right half, which started off as I, will now be the inverse of A.Starting with the square matrix A, create the augmented matrix AI = [A:I] which represents the columns of A followed by the columns of I, the identity matrix.Using elementary row operations only (no column operations), convert the left half of the matrix to the identity matrix. The right half, which started off as I, will now be the inverse of A.
Because you need to use inverse operations and the opposite of multiplication is division.