Understanding of matrices

Read a lot of people on the net, write the understanding of the matrix, from the understanding of linear equations, from the understanding of the linearity of the transformation, but also to understand the other assorted. I think there is a reason, but I do not grasp the essence of the matrix. What exactly is a matrix? The matrix looks rather advanced, so let's change to a more simple question. Excuse me: What exactly is a number like this? If you can tell the nature of the idea, you will naturally understand the nature of the matrix.

Every person from primary school, no, from the kindergarten on the beginning of contact, has been used to hang up with us, can be useful for a lifetime of mathematical elements. But how many people can tell their nature? 1 apples +1 apples = 2 apples, then ask 1 buns + 1 dogs equals what? Obviously in the first case, 2 can be calculated, but the second case, at least mathematically, will not produce any results. You have to say that the dog ate the steamed bun, so it is equal to a dog who has just eaten the steamed bun, so congratulations, you have the potential to learn advanced non-linear knowledge. Our ancestors summed up a number of such things after a long life of practice. These numbers can be used to represent the number of objects, and the accumulation of the same objects, the old ancestors used the number of addition operation to express. A pile of steamed buns, eaten, is used to express the loss. But the addition and subtraction operation is not enough, then summed up your multiplication and division.

So, the number (of these things) is some mathematical element with arithmetic rules. These operational rules were originally made by practice, but after a long period of tempering, these operational rules developed to a considerable degree (e.g. 99 procurement schemes). If we want to use these numbers to help us calculate the number of objects, we must obey the constraints of these rules. Finally these rules his new, mathematics this discipline also was born.

Eat first, then write later.

Understanding of matrices