Here you will learn what is the diagonal matrix definition and order of diagonal matrix with examples. Let’s begin – Diagonal Matrix Definition : A square matrix A = \([a_{ij}]_{n\times n}\) is called a diagonal matrix if all the elements, except those in the leading diagonal, are zero i.e. \(a_{ij}\) = 0 for all i […]
Diagonal Matrix – Definition and Examples Read More »
Here you will learn what is the square matrix definition and order of square matrix with examples. Let’s begin – Square Matrix Definition : A matrix in which the number of rows is equal to the number of columns, say n, is called a square matrix of order n. A square matrix of order n
Square Matrix – Definition and Examples Read More »
Here you will learn what is column matrix definition and order of column matrix with examples. Let’s begin – Column Matrix Definition : A matrix having only one column is called a column matrix or a column vector. It is matrix having all its elements in a single column. It has one column and multiple
Column Matrix – Definition and Examples Read More »
Here you will learn what is row matrix definition and order of row matrix with examples. Let’s begin – Row Matrix Definition : A matrix having only one row is called a row-matrix or a row-vector. It is matrix having all its elements in a single row. It has one row and multiple columns. The
Row Matrix – Definition and Examples Read More »
Here you will learn what is the mean deviation formula with examples. Let’s begin – Mean Deviation Formula (i) For Ungrouped distribution : Definition : If \(x_1\), \(x_2\), ….. , \(x_n\) are n values of a variable X, then the mean deviation from an average A (median or arithmetic mean) is given by Mean Deviation
Mean Deviation About Mean and Median – Formula and Examples Read More »
Here you will learn what is the probability of an event formula with examples. Let’s begin – Probability of an Event Definition : If there are n elementary events associated with a random experiment and m of them are favourable to an event A, then the probability of happening or occurrence of A is denoted
Probability of an Event – Formula and Examples Read More »
Here you will learn the differentiation of constant function proof and examples. Let’s begin – Differentiation of Constant The differentiation of constant function is zero. i.e. \(d\over dx\)(c) = 0. Proof : Let f(x) = c, be a constant function. Then, By using first principle, \(d\over dx\) (f(x)) = \(\displaystyle{\lim_{h \to 0}}\) \(f(x + h)
Differentiation of Constant – Proof and Examples Read More »
Here you will learn how to solve or evaluate limits at infinity with examples. Let’s begin – Limits at Infinity Algorithm to evaluate limits at infinity : 1). Write down the given expression in the form of a rational function i.e. \(f(x)\over g(x)\), if it is not so. 2). If k is the highest power
Limits at Infinity – Definition and Examples Read More »
Here you will learn what is the rationalisation method to solve or find limits with examples. Let’s begin – Rationalisation Method to Solve Limits This method is particularly used when either the numerator or denominator or both involve expression consisting of square roots and substituting the value of x the rational expression takes the form
Rationalisation Method to Solve Limits Read More »
Here you will learn what is the factorisation method to solve limits with examples. Let’s begin – Factorisation Method to Solve Limits Consider the following limit : \(\displaystyle{\lim_{x \to a}}\) \(f(x)\over g(x)\) If by substituting x = a, \(f(x)\over g(x)\), reduces to the form \(0\over 0\), then (x – a) is a factor of f(x)
Factorisation Method to Solve Limits Read More »
