Addition of Matrices
To add two matrices: (i) Check whether they are of the same order. (ii) If they are of the same order, add the corresponding elements. (ii) It will be seen that the matrix obtained after addition will also be a matrix of the same order. If and then If and , th..
To add two matrices: (i) Check whether they are of the same order. (ii) If they are of the same order, add the corresponding elements. (ii) It will be seen that the matrix obtained after addition will also be a matrix of the same order. If and then If and , th..Summary
A matrix is defined as a rectangular array of elements. If the arrangement has m rows and n columns, then the matrix is of order mxn (read as m by n). A matrix is enclosed by a pair of parameters such as ( ) or [ ]. It is denoted by a capital letter. Two matrices are said to be compa..
Subtraction of Matrices
Two matrices can be subtracted in the same way as they are added. We change the signs of the corresponding elements and then add them. If then If and , th..
Two matrices can be subtracted in the same way as they are added. We change the signs of the corresponding elements and then add them. If then If and , th..Co-factors
The co-factor of the element a ij is (-1) i+j times its minor a ij . We shall denote the cofactor of an element by the corresponding capital letter. Cofactor of a i j = A i j = (-1) i + j M i j Consider the determinant The minor of a 1 1 can be obtained by deleti..
The co-factor of the element a ij is (-1) i+j times its minor a ij . We shall denote the cofactor of an element by the corresponding capital letter. Cofactor of a i j = A i j = (-1) i + j M i j Consider the determinant The minor of a 1 1 can be obtained by deleti..Approximation
Approximation - We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Let us illustrate it by examples. Mass of a gold ornament is 23.473 g. Round off to (i) two decimal places, (ii) one decimal place. 23.473 g = (2 x 10) + (3 x 1..
Approximation - We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Let us illustrate it by examples. Mass of a gold ornament is 23.473 g. Round off to (i) two decimal places, (ii) one decimal place. 23.473 g = (2 x 10) + (3 x 1..Multiplication of Matrices
of (number of rows of A x number of columns of B). If A be a matrix of the order m x n and B be a matrix of the order n x q, then A and B can be multiplied and the product will be a matrix of order m x q. then Elements of rows of matrix A are multiplied by the correspo..
of (number of rows of A x number of columns of B). If A be a matrix of the order m x n and B be a matrix of the order n x q, then A and B can be multiplied and the product will be a matrix of order m x q. then Elements of rows of matrix A are multiplied by the correspo..Atomic Mass of Elements
Experimentally it is determined that the mass of an atom is very small ranging from 1.7 x 10 - 2 4 g to about 4.0 x 10 - 2 2 g. These small masses are terribly impractical to work with. Thus, it became necessary to reduce the atomic masses into simple figures. Hydrogen..
Elements
"An element is a pure substance which is made up of only one kind of atoms having the same atomic number." "The smallest particle of an element is the atom which, has all the properties of that element." "An element canno..
Reason for fractional atomic masses of elements
Atomic masses of many elements are in fractions not in whole numbers..
Mass number
The sum of the number of protons and neutrons in the nucleus of an atom is called the mass number. It is represented by the letter A. Mass number (A)= Number of protons (p) + number of neutrons (n) From the knowledge of atomic h..
Result
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