00:01
Hello, in this video, we're going to solve for x given the two matrices a and b.
00:07
We're also given the equation minus 3x plus a is supposed to b.
00:11
So firstly, looking at our equation here, we can see that a is a matrix, b is a matrix, and since we are subtracting, we can take a to the right hand side so that we end up having.
00:26
So i'll write the equation in here.
00:30
Plus a is equal to b we can say that minus 3x is equal to b minus a and then what do we do next we say x since minus 3 is a scala we can do this as a over 3 that's 3 here okay so this is what we're going to do so firstly we're going to say b minus a evaluate this so we are given our our b on top yeah and we also given our a so we know that our b it's minus six six minus one and minus 11 subject our a which is 11 minus 1, 1, minus 11.
01:31
If we evaluate this, so we're going to say minus 6, minus 11, we get minus 17 here.
01:38
And then we say 6, minus 1, you're going to get 7, and then 1, minus 1, we get minus 2.
01:49
And then lastly, minus 11, minus 11 is going to become, and as 11 plus 11, which is 0.
01:56
So this is our b minus a and what are we left with b minus a over minus 3...