procession
If the matrix is of the same size, the corresponding elements can be added or subtracted from each other. The multiplication of the matrix is more complex, and this multiplication is defined only when the number of rows in the preceding matrix is equal to the number of rows in the backward matrix. Matrices are mainly applied to represent linear transformations. A linear transformation is a generalization of a linear function such as f = 4x. The rotation of a three-dimensional space vector is a linear transformation. R is a rotation matrix, and v is a column vector indicating the position of the point, the product Rv is a column vector indicating the position after rotation. The product of two matrices is a matrix consisting of two linear transformations. Matrices also apply to solving linear simultaneous equations. If the matrix is a square matrix, we can find some properties by calculating its determinant. For example, if the matrix is not zero, the matrix can be said to have an inverse matrix.