Commuting in algebra is often used for matrices. Say you have two matrices, A and B. These two matrices are commutative if A * B = B * A. This rule can also be used in regular binary operations(addition and multiplication). For example, if you have an X and Y. These two numbers would be commutative if X + Y = Y + X. The case is the same for X * Y = Y * X. There are operations like subtraction and division that are not commutative. These are referred to as noncommutative operations. Hope this helps!!
If X1, X2 , ... , Xn are matrices of the same dimensions and a1, a2, ... an are constants, then Y = a1*X1 + a2*X2 + ... + an,*Xn is a linear combination of the X matrices.
x - 2y = -4 2x - y = 1 To solve this system of equations, I used matrices, and got x = 2 and y = 3.
The multiplicative inverse of any non-zero number x, is the number y such that x*y = 1 = y*x. y may also be written as 1/x. Multiplicative inverses also exist for non-singular matrices.
Suppose you have a set, S, of mathematical objects (numbers, vectors, matrices, whatever) and a mathematical operation ~, then commutativity implies that for any two elements x and y, which belong to S,x ~ y = y ~ x.
6x-3y=30 4x=2-y There are many ways to find the values of x and y. elimination substitution matrices on and on... Here's one. Set them both equal to y y=2x-10 y=2-4x So the right sides are both equal to y, therefore, they are equal to each other. 2x-10 = 2-4x 6x=12 x=2 plug 2 in for x on one of the equations y=2-4x y=2-4(2) y=-6
If the equations are in y= form, set the two equations equal to each other. Then solve for x. The x value that you get is the x coordinate of the intersection point. To find the y coordinate of the intersection point, plug the x you just got into either equation and simplify so that y= some number. There are other methods of solving a system of equations: matrices, substitution, elimination, and graphing, but the above method is my favorite!
if y=1/4x and x=,find y
Assuming that you want to find y when x is 40, it is 200.
Substitute zero for x to find the y-intercept, and substitute zero for y to find the x-intercept.
To find x as a percentage of y, calculate 100*x/y.
solve the x and you find the y