APPLICATIONS OF MATRICES Cryptography Cryptography involves encrypting data so that a third party can not intercept and read the data. In the early days of satellite television, the video signals weren\'t encrypted and anyone with a satellite dish could watch whatever was being shown. Well, this didn\'t work because all of the networks using satellites didn\'t want the satellite dish owners to be able to receive their satellite feed for no cost while cable subscribers had to pay for the channel, they were losing money. So, they started encrypting the video signal with a system called Videocipher (later replaced by Videocipher II). What the Videocipher encryption system did was to convert the signal into digital form, encrypt it, and send the data over the satellite. If the satellite dish owner had a Videocipher box, and paid for the channel, then the box would descramble (unencrypt) the signal and return it to its original, useful form. This was done by using a key that was invertible. It was very important that they key be invertible, or there would be no way to return the encrypted data to its original form. The same thing can be done using matrices. Encryption Process Decryption Process Solution APPLICATIONS OF MATRICES Cryptography Cryptography involves encrypting data so that a third party can not intercept and read the data. In the early days of satellite television, the video signals weren\'t encrypted and anyone with a satellite dish could watch whatever was being shown. Well, this didn\'t work because all of the networks using satellites didn\'t want the satellite dish owners to be able to receive their satellite feed for no cost while cable subscribers had to pay for the channel, they were losing money. So, they started encrypting the video signal with a system called Videocipher (later replaced by Videocipher II). What the Videocipher encryption system did was to convert the signal into digital form, encrypt it, and send the data over the satellite. If the satellite dish owner had a Videocipher box, and paid for the channel, then the box would descramble (unencrypt) the signal and return it to its original, useful form. This was done by using a key that was invertible. It was very important that they key be invertible, or there would be no way to return the encrypted data to its original form. The same thing can be done using matrices. Encryption Process Decryption Process.