123456+234561+345612+456123+561234+612345.

123456+234561+345612+456123+561234+612345.


123456+234561+345612+456123+561234+612345=111111+222222+333333+444444+555555+666666=(1+2+3+4+5+6)×111111=21×111111=(20+1)×111111=20×111111+111111=2222220+111111=2333331



How can 123456 be equal to 1


1+2+3-4+5-6=1



Why is the determinant of AB = the determinant of BA in a matrix?


There is a formula | ab | = | a | B|
Here | a | and | B | are numbers, so we can use the multiplication of numbers to exchange rates
|A||B| = |B||A| =|BA|
So equal



Let AB be a matrix of order n, and prove that ab Ba determinant = a + B determinant multiplied by A-B determinant requires block matrix and that formula


Validation (E, e * (a, b * (E - E)
0 E) B A) 0 E)
=(A+B 0
B A-B),
Where e is the unit matrix of order n. take determinants on both sides of the equation, and note the equality
The determinant of the right matrix is | a + B | * | A-B |