step by step math equations

The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by repl..

Let A be a matrix of order mxn. Let B be a matrix of order nxp. Then the product of the matrices A and B is of order mxp. i.e., when we multiply two matrices the number of columns of the first matrix should be equal to the number of rows of the second matrix. Two matrices can be multiplied by usin..

Divide the total obtained in step 3 by the number of items and calculate the square root to get the standard deviatio..

Applying OR to all the combinations obtained in step 3, we have the expression x 1 x 2 x 3 + x 1 x 2 x 3 ' + x 1 x 2 ' x 3 + x 1 ' x 2 ' x ..

Form the combination (x 1 , x 2 , x 3 ) for the rows identified in step 1. Put x i if x i = 1 x i if x i = 0 For the 1 s t row, the expression is x 1 .x 2 .x 3 2 n d row, the expression is x 1 .x 2 .x 3 ' 3 r d row, the expression is x 1 , x 2 '.x 3 Last row, the expression i..

For a differentiable function f (x), find f '(x). Equate it to zero. Solve the equation f '(x) = 0 to get the Critical values of f (x..

Substituting this in the differential equation, it reduces to the form f(v) dv = g(x) d..

Integrating once we get is the solution of the given differential equations..

Since the objective function is Z = ax + by, draw a dotted line for the equation ax + by = k, where k is any constant. Sometimes it is convenient to take k as the LCM of a and ..

To maximise Z draw a line parallel to ax + by = k and farthest from the origin. This line should contain at least one point of the feasible region. Find the coordinates of this point by solving the equations of the lines on which it lies. To minimise Z draw a line parallel to ax + by = ..