matrix algebra definition

Notation: Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. The degree of a polynomial: If a o ? 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and integ..

An algebraic identity is a statement of equality between two algebraic expressions, but it is satisfied for all values of the variabl..

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An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables..

A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable represents a plane. A simple linear equation is a statement of equ..

Simultaneous Equations - A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the equa..

Our investigation reveals that there is a definite relationship between the roots of a quadratic equation and the coefficient of the second term and the constant term. The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term divi..

Linear equations in two variables - A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable represents a plane. A simple linear..

A relation R, is said to be transitive if a 'is related to' b and b 'is related to' c then a 'is related to' c, (a, b) R and if aRb, bRc then aRc. For example, (i) If D ABC 'is congruent to' D DEF and D DEF 'is congruent to' D XYZ, then D ABC 'is congruent to' D X..

An equation of one variable and of first order (i.e., its highest power is one) is called a linear equation . Such an equation has only one solution. A solution is also called the 'root' of the given equatio..