We are only going to focus on the 2x2 Matrix in this exercise.
As a rule of thumb, A*A^-1 = I, where A^-1 is the inverse of matrix A, and I is the identity matrix.
The Matlab code for this is again quite straightforward. For matrix A,
As a rule of thumb, A*A^-1 = I, where A^-1 is the inverse of matrix A, and I is the identity matrix.
For a 
matrix
matrix![A=[a b; c d],](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_ud7_gsQsRJOo4IthnzI0JnFp4tSXizVi6j1v9O0Xr5qAKMQf-tuykrGIR4jMZBP50GvoK7VDrHgbtCyn__YeoshurvH_hJpp9m1p-vueMhqH8h3oJWGaKGnhfbEus0WSfATIKLyhVa9J4tDsfGebyZRZwgtw=s0-d) |
the matrix inverse is
 |  | ![1/(|A|)[d -b; -c a]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sIEH0DbfaQWXys-ThdF6iZ2rTAgQwC_4oYerZO4_YNRGPfwgW64dTmtMQk6jkmhAb9dz5xOTJHPj5albENKFnhDafHy2XfclbKU6J54Y7pbPCC1N834ZYp9R2IpS-8oDoUwcbB65T1j3mG=s0-d) | |
 |  | ![1/(ad-bc)[d -b; -c a].](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_u3aeLqSTRAqjBNDvXb-q4wpWLGV8BcupAu8KuVzQGH4WBQ521PI3N9Z6xfhfm9Jrq8_Gh0YkQGMNDQ0p6vjTN3XV9K5hJfdEbpFzT6V4VnP9cW5j4tPnplFqkBhYcI6Xg6MOkn5TE5YFyR=s0-d) . |
The Matlab code for this is again quite straightforward. For matrix A,
a = inv(A)
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