It is a group or collection of numbers put together in a fixed format, represented with the ‘square braces -> [ ]’. These numbers are arranged in rows and columns and the numbers present in the braces are called elements of the matrix.
Arithmetic sequences and series
A Sequence is the list of numbers written in a particular order following a pattern. A Series is the sum of the list of the numbers written in the specific order in a sequence. The sequence and series can have numbers extending up till infinity and they are called infinite sequence and infinite series.
Exponential and Logarithmic functions
An exponential function can be defined as function which has a constant base and that base is raised to a power (or exponent). These functions are increasing functions and can give huge numbers as the output. The simplest form of an exponential function is:
Similarity and geometry shape
Similarity: Two objects are similar if the angles one object is equal to the angles of the other and if the sides of one object are in proportion with the sides of the other. It is important to remember that the shape of both the object however remains the same.
Properties and attributes of Functions :
Properties of functions: Functions come under sub-category of Relations. Functions are organized relations where proper order has to be maintained while linking one set to another set. There are different ways of linking one set to another set and the following are the examples!
Rational Functions – A rational function is defined as the function which can be expressed as a ratio of two given polynomials. The polynomial functions can have any highest exponent and it is written in the general form as:
The general form of a quadratic equation is ax2+ bx+ c=y, where a = 0 and a,b,c are the parameters which influence its U-shaped parabola graph. This is an example of a non-linear function with its highest exponent 2.
Find the angle of Triangle, Equilateral Triangle, Right Triangle, Quadrilaterals
In Geometry, every structure has particular dimensions like length of the side, angle etc. These dimensions create patterns and relationships which in fact gives us more information about a particular geometric figure. Let the geometric structure be any shape like a triangle or a quadrilateral, below are some of the rules shown.
Quadratic Functions Definition : The standard form of a quadratic function is f(x) = ax2+bx+c, where a = 0 and a, b, c are constants. The graph of a quadratic function is a U-shaped parabola. Whether the parabola opens upward or downward depends on the parameter ‘a’. The graphs below explain it!
Linear System -> A System of equations is a collection of equations which when solved, gives the solution. As the number of equations increase, the variables also increase and we have to find their solution. The graph of these equations is a straight line. The basic system of equation is an equation with two variables only.