To find the inverse of a 2x2 matrix: swap the positions of a and d, put negatives in front of b and c, and divide everything by the determinant (ad-bc). Sometimes there is no inverse at all

We can calculate the Inverse of a Matrix by: Step 1: calculating the Matrix of Minors, Step 2: then turn that into the Matrix of Cofactors, Step 3: then the Adjugate, and Step 4: multiply that by …

See if you can do it yourself (I would begin by dividing the first row by 4, but you do it your way). You can check your answer using the Matrix Calculator (use the "inv (A)" button).

Using Matrices makes life easier because we can use a computer program (such as the Matrix Calculator) to do all the "number crunching". But first we need to write the question in Matrix form.

The determinant helps us find the inverse of a matrix, tells us things about the matrix that are useful in systems of linear equations, calculus and more. Calculating the Determinant

A/B = A × (1/B) = A × B -1 where B-1 means the "inverse" of B. So we don't divide, instead we multiply by an inverse. And there are special ways to find the Inverse, learn more at Inverse of a Matrix. …

Enter your matrix in the cells below "A" or "B". Or you can type in the big output area and press "to A" or "to B" (the calculator will try its best to interpret your data).

Notice how we multiply a matrix by a vector and get the same result as when we multiply a scalar (just a number) by that vector. How do we find these eigen things?

And we get: DONE! Why Do It This Way? This may seem an odd and complicated way of multiplying, but it is necessary! I can give you a real-life example to illustrate why we multiply matrices in this way.

A function has to be "Bijective" to have an inverse. So a bijective function follows stricter rules than a general function, which allows us to have an inverse.