Addition of Matrices
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..
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..Matrices and Determinants
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 ..
Subtraction of Matrices
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..
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..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) + The successi..
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) + The successi..Multiplication of Matrices
Let us consider the sales done by a school canteen for two successive days. Monday 25 cokes 12 cakes Tuesday 40 cokes 7 cakes Each coke costs $ 5 and cake costs $ 10. The sales can be expressed as a 2 x 2 matrix and the price as a 2 x 1 matrix as given below: The amount collected for two days can b..
Let us consider the sales done by a school canteen for two successive days. Monday 25 cokes 12 cakes Tuesday 40 cokes 7 cakes Each coke costs $ 5 and cake costs $ 10. The sales can be expressed as a 2 x 2 matrix and the price as a 2 x 1 matrix as given below: The amount collected for two days can b..Atomic Mass of Elements
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 ..
Elements
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 ..
Atomic Mass of an Element or Relative Atomic Mass
The atomic mass of an element is a relative quantity and is the mass of one atom of the element relative to the mass of one carbon-12 atom. Thus,Relative atomic mass (RAM) of an element is the number of times one atom o..
The atomic mass of an element is a relative quantity and is the mass of one atom of the element relative to the mass of one carbon-12 atom. Thus,Relative atomic mass (RAM) of an element is the number of times one atom o..Reason for Fractional Atomic Masses of Elements
Atomic masses of many elements are in fractions not in whole numbers..
Atomic mass, mass number or nucleon number
The total number of protons and neutrons present in one atom of an element is known as its mass number. Mass number = number of protons + number of neutrons It can also be said that: Mass number = A..
The total number of protons and neutrons present in one atom of an element is known as its mass number. Mass number = number of protons + number of neutrons It can also be said that: Mass number = A.. Result
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