00:01
We have our matrix a here, which is 3, 4, 1, 2.
00:04
And what we want to find is the inverse before we do anything else.
00:08
So to find the inverse we need to do 1 over ad, 3 times 2, minus bc, 4 times 1.
00:17
And we want to multiply that by d, which is 2, minus b, minus 4, minus c, minus 1, and a, which is 3.
00:29
So 3 times 2 minus 4 times 1 is just 2.
00:36
So we get 1 over 2 times 2 minus 4 minus 1 and 3.
00:43
So that's our inverse matrix a to the minus 1.
00:48
Okay, and so now we want to decode the message that we've been given.
00:53
So first we want to write that in the format that we have been given.
00:56
So we want to write that in the form 69, and then the next number down is going to be 33.
01:07
And then we have 1, 2, 6, 54, 27, 11, 60, 20, 59, 29, 149, 65, 87, 41.
01:33
Okay, and what we want to do is multiply this by a to the minus 1.
01:38
So that's 1 half, 2 minus 4 minus 1, 3...