Determinants are very important concept related to square matrix, and usually it is simple to calculate one while dealing with the system of linear equations. Our attempt here is to understand determinants properly so that all related concepts becomes easy and unforgettable. So we begin with a gentle introduction to determinants of matrices.What are Determinants … Read more
What is linear algebra? Graphically speaking, linear algebra deals with lines and their transformations. In short, linear algebra is linear transformation represented using vectors of numbers and matrices of two dimensional numbers. We solve linear equations with unknown variables associated with each term of the linear equations. For example, Each term has unknowns (x, y) … Read more
Triangular matrices are diagonal matrix plus some elements on the upper side or lower side of the main diagonal. Here we discuss about types, interesting properties of triangular matrix. Later we will find ways to determine the invertibility and how to find inverse of a triangular matrix with examples.What Are Triangular Matrices ?If a square … Read more
The diagonal matrix has diagonal elements only and if the diagonals are 1 then the matrix is called and identity matrix . In this article, we discuss about diagonal matrix and properties. Then find the inverse of diagonal matrix. What is a diagonal matrix ?A diagonal matrix is a matrix whose diagonal entries are non-zero … Read more
In the previous article, you learned about inverse of matrix and why it is important. You will learn how to find inverse of a matrix in this article. There are two primary method of finding inverse of any square invertible matrix – Classical adjoint method and Gauss -Jordan elimination method.Methods To Find Inverse Of MatrixThe … Read more
In linear algebra, matrix inverse holds a special place because there is no division in matrix algebra. You cannot divide two matrices. Fortunately, the division is possible when a matrix is multiplied with its inverse which is unique. The inverse is not possible with just any kind of matrix, a matrix must be square and … Read more
The matrices can be multiplied to get product matrix and also they demonstrate all other mathematical properties. The power of matrices is another mathematical property of matrix where matrix is raised to a power using an exponent. This brings another question, does the exponent laws applies to matrices or not ? what type of matrices … Read more
We have seen prepositions, connectives and compound prepositions; all possible combinations of truth values of the individual prepositions in a compound preposition is depicted in a truth-table. However, it is possible that another preposition or compound preposition has the same truth values in the truth table. This is called logical equivalence of two prepositions.The importance … Read more
In the previous video, you learned about different types of basic logical connectives that helps in creating compound prepositions. These connectives are join two or more atomic statements to form compound preposition which also have a truth value of its own. We have discuss negation, conjunction, and disjunction connectives so far, the remaining two connectives … Read more
From the previous article, you know that a prepositional statement can have truth value and the values are boolean – true or false. A statement having true value can be negated using ‘not‘ operator and then its value becomes false or vice-versa. Consider the following example where variable is the statement “I am eating“.You can … Read more
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