regression number of variables

We recall from our earlier classes that a system of linear equation with two variables is given by This system of linear equation may have either one solution or infinitely many solutions or no solutio..

Constants and variables are the fundamentals of polynomials. Examples : In the formula for circumference of a circle, c=2π r 2 and π are constants and c and r are variables..

- In the equation, variable in the denominator should not either have zero or have any number that could result denominator to become zero. An Equation may contain numerical, algebraic or trigonometric fractio..

Constants and variables Symbols having fixed values are called constants. Examples: 5, π, ¾, 1.5. Symbols which can be assigned with various numerical values are called variables or literals. Examples : x, y, y 2 . In the formula for circumference of a circl..

Equations involving algebraic fractions or fractions with unknown variables Example : x - 2 3 1 --------------- + ---------- = --------- (5x - 7)(x - 1) 2(5x - 7) 2(x - ..

Application of Determinants, Area of a Triangle, Cramer's rule for the solution of a system of equations in 2 variables, Consistency of a system of linear equation. Application of Matrices, Homogeneous Equations (Constant = 0), Non Homogenous Equations (Solution by the Matrix..

In case of a polynomial of one variable the highest power of the variable is called the degree of the polynomial. 3y-7y 3 has degree 3 and <5x 4 -3x 2 has degree 4. In case of polynomials with more than one variable, the sum of powers of the variablesh..

We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, Gauss-Jordan method e..

Some sentences depend on a variable for its truth value (i.e., true or false). e.g., "2+4+6+2n=2n" is true for n=1 but false for n=2, n=3 etc. As the above sentence is definitely true or definitely false for a particular positive integral value of n, the sentence is a st..

(1) " January has 31 days” is a statement. (2) "Null set is a subset of every set” is a statement. (3) "All girls are studious” is not a statement. (4) "Apoorva is honest” is not a statement. Some sentences depend on a variable for its trut..