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Inverse of a Matrix Calculator

# Inverse of a Matrix Calculator

This calculator is made for solving inverse matrix equations. This solver was designed to make inverse matrix equations as easy as possible. I hope you enjoy this tool.

### Inverse

By taking any advanced math course or even scanning through this website, you quickly learn how powerful a graphing calculator can be. A more “theoretical” course like linear algebra is no exception. In fact, once you know how to do something like finding an inverse matrix by hand, the calculator can free you up from that calculation and let you focus on the big picture.

Inverse operations are commonly used in algebra to simplify what otherwise might be difficult. For example, if a problem requires you to divide by a fraction, you can more easily multiply by its reciprocal. This is an inverse operation. Similarly, since there is no division operator for matrices, you need to multiply by the inverse matrix. Calculating the inverse of a 3x3 matrix by hand is a tedious job, but worth reviewing. You can also find the inverse using an advanced graphing calculator. (Source: www.wikihow.com)

### Use

To find the inverse of a 3x3 matrix, first calculate the determinant of the matrix. If the determinant is 0, the matrix has no inverse. Next, transpose the matrix by rewriting the first row as the first column, the middle row as the middle column, and the third row as the third column. Find the determinant of each of the 2x2 minor matrices, then create a matrix of cofactors using the results of the previous step. Divide each term of the adjugate matrix by the determinant to get the inverse. If you want to learn how to find the inverse using the functions on a scientific calculator, keep reading the article! (Source:

Most graphing calculators also have square bracket keys (on TI-84 it's 2nd + x and 2nd + -) which can be used to type in a matrix without using the matrix function. Note: The calculator will not format the matrix until after the enter/equals key has been used (i.e. everything will be one line and not pretty). (Source: www.wikihow.com)

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