In higher algebra, if identity matrix is added to solve the corresponding matrix, and then elementary transformation is used to solve it, the problem can often be simplified.
According to the characteristics of identity matrix, any matrix multiplied by identity matrix is equal to itself, and the uniqueness of identity matrix is also widely used in higher mathematics.
Information about the rotation matrix:
Is a matrix, when multiplied by a vector, it has the effect of changing the direction of the vector without changing its size. The rotation matrix does not contain inversion, it can change the right-handed coordinate system into the left-handed coordinate system or vice versa. All rotations are added and inverted to form a set of orthogonal matrices.
The rotation matrix was studied by the world-famous lottery expert and Australian mathematician Dietrov. It can help you lock your favorite number and improve your chances of winning. First, you have to select some numbers, and then, with a certain rotation matrix, fill the numbers you choose in the corresponding positions.
If some of the numbers you choose are the same as the lottery numbers, you are sure to win a prize. Of course, using this rotating matrix, you can get the maximum profit with the minimum cost, and it is far less than the cost of double betting.
Mathematically, the principle of rotation matrix involves a combination design: covering design. Covering design, filling design, Steiner system and t- design are all combinatorial optimization problems in discrete mathematics. They solve the problem of how to combine elements in a collection to achieve specific requirements.
The above contents refer to Baidu Encyclopedia-Matrix; Baidu Encyclopedia-Identity Matrix?