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pyfgcr
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I wonder how to find linear combination of 2 numbers, that is: ax+by=t, with t=m*GCD(a,b), and m,a,b [itex]\in[/itex] Z. Find x,y.
pyfgcr said:I wonder how to find linear combination of 2 numbers, that is: ax+by=t, with t=m*GCD(a,b), and m,a,b [itex]\in[/itex] Z. Find x,y.
A linear combination of two numbers is the result of multiplying each number by a constant and adding them together. It is represented by the formula ax + by, where a and b are constants and x and y are the two numbers.
To solve a linear combination, you need to first find the values of the constants a and b. This can be done by setting up a system of equations and solving for the variables. Once you have the values of a and b, you can plug them into the formula ax + by to find the result of the linear combination.
Linear combinations are useful in many areas of science and mathematics, such as solving systems of equations, graphing lines, and understanding vector spaces. They can also be used to represent and solve real-world problems involving multiple variables.
Yes, a linear combination can have any number of numbers, as long as each number is multiplied by a constant and added together. The formula for a linear combination can be extended to include more than two numbers, such as ax + by + cz.
No, not every number is a linear combination of two other numbers. For example, prime numbers cannot be expressed as a linear combination of two other numbers. However, every real number can be expressed as a linear combination of two other real numbers.