linear algebra

Solve the Systems of linear equations by Method of Substitution: 2x - 9y = 0 (i) x - 18y = 27 (ii..

Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, y = 0. Similarly, if we take ..

Finding the solution by the method of substitution. Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors. (ii) By addition or subtraction, this variable (x) is elimina..

Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and properties of numbers.Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and..

2x + 3y = 5, x - 2y = 6, -6x + y =8 A pair of values of x and y that satisfy a given linear equation in two variables is said to be its soluti..

Types of linear systems Gauss-Jordan elimination, Gauss-Jordan method Vectors and vector addition Geometrical solution sets of systems of equations Rectangular matrices to row echelon form Matrix multiplication Inverse to a square matrix Determinants of 2 by 2 and 3 by 3 matrices..

Different forms of numbers Scientific notation, square roots, exponents, radicals, absolute value, factorial, logarithms Properties of numbers Estimation of solutions Sequences and series Proportionality/direct variation, exponential/fractional expressions Patterns, relations and functions ..

Ratio and proportion Ratios and percents Describing relationships Generating formulas Equations for linear relationships Evaluating algebraic expressions Multistep problems Geometric quantities/ expressions Evaluating formulas Solving two-step equation..

Problems involving positive/negative powers Solving problems in percent; proportional relationships Formulas for measurement Graphing data to demonstrate relationships Arithmetic sequences Simplifying numerical expressions Operations on monomials Linear/non-linear functions, equa..

Linear equations/inequalities Monomials and polynomials Factoring second and third degree polynomials Rational expressions/functions Quadratic equations Quadratic functions Exponents, factors, variation, exponential growth/decay Hypothesis, counterexamples Correlation for data ..