If a solution of the binary linear equation system ax + 3Y = B is x = 3, y = 0, then the intersection of the image of the linear function - 3 / ax + 3 / B and the X axis is

If a solution of the binary linear equation system ax + 3Y = B is x = 3, y = 0, then the intersection of the image of the linear function - 3 / ax + 3 / B and the X axis is


x=3,y=03a=b
∴y=ax/3+3a/3=a(x+3)/3
∴x=-3
y=a*0/3=0
The point is (3,0)



Given the quadratic equation 2x + 3y-6 = 0, if you take y as a function of X, draw its image, and answer according to the image: (1) when y = - 4, 0, 2, what is the corresponding value of X? (2) When y = 0, which equation is the solution of the corresponding x value? What is the solution?


(1) when y = 0, x = 3; when y = 2, x = 0; when y = - 4, x = 9; (2) when y = 0, the corresponding x value is the solution of the equation - 23x + 2 = 0, and the solution is x = 3



How to prove that the eigenvalue property λ ^ m is the eigenvalue of matrix A ^ m?


λ is the eigenvalue of a, let X be its corresponding eigenvector, that is AX = λ X
Then a ^ m (x) = a ^ (m-1) (AX)
=A^(m-1) (λX)
=λA^(m-1)(X)
=λA^(m-2) (AX)
=λ²A^(m-2)(X)
...
=λ^mX
This shows that λ ^ m is the eigenvalue of a ^ m, and the corresponding eigenvector is X



A two digit, ten digit number is twice the number, the number and ten digit number exchange, get
A two digit number and a ten digit number are twice as many as a single digit number. Exchange a single digit number with a ten digit number to get a new number. The sum of the two two digits is 132. Find the two digits. (solved by equation)


If a single digit is x, the original two digit number is 2x, and the original two digit number should be 20x + X
After replacement, the ten digit number of the new two digit number is x, and the individual digit number is 2x, that is, the new two digit number is 10x + 2x
So 20x + X + 10x + 2x = 132
33x=132
x=4
The solution is 84



Is there any internal relationship between the rank of a matrix and the determinant of a matrix?


For square matrix A of order n, R (a) = n is equivalent to | a | ≠ 0
this is it.



Change the formula x = (1 / a) - (1 / b) into the form of finding B with known x, A. (1-ax is not equal to 0)


x=(1/a)-(1/b)
(1/b)=(1/a)-x
b=1/[(1/a)-x]=1/[(1-ax)/a]
=a/1-ax



Program design problem to find out all the "narcissus number", the so-called "narcissus number" refers to a three digit number, the number of cubic sum is equal to the number itself
Programming problems
Find out all the "Narcissus numbers". The so-called "narcissus number" refers to a three digit number whose cube sum is equal to the number itself. For example, 153 is a "narcissus number" because 153 = 1 + 5 + 3
Please write a program to find out all the numbers that meet the above conditions and write them into sj540. C file in the examinee's folder according to the format of% D / N. each line is required to store one number
*Note: it is finally saved under the name of sj540. C


Narcissus number:
#include
void main()
{
int a,b,c,i;
for(i=100;i



Xiao Ming finished a 120 page book in three days. On the first day, he read 3 / 10 of the whole book. On the second day, he read several books. On the third day, he read 2 / 5 of the whole book
How many pages did you read
How many pages did you read the next day?
What page does the third day start from?


120×3/10=36
120×(1-3/10-2/5)=36
36+36+1=73



Given the positive proportional function y = (1-2a) x, if the value of Y increases with the increase of the value of X, then a can be


The coefficient satisfying the condition is 1-2a > 0, i.e. a



There are three kinds of cars, cars, bicycles and tricycles in the parking lot, with a total of 44 cars and 141 wheels. Among them, cars are twice as many as bicycles. How many bicycles are there?


In fact, the equation is very simple and easy to understand. It can be written as follows: let x tricycles, X cars (2x-1), 44-x - (2x + 1) bicycles, 3x + 4 (2x-1) + [44-x - (2x + 1)] × 2 = 141 3x + 8x-4 + 88-2x-4x + 2 = 141