Vector Algebra

Before knowing what a Generalized Eigenvector is, we should know about eigenvalue and eigenvector. In linear algebra, eigenvalues go hand in hand with eigenvectors. When looking at linear transformations, both eigenvalue and eigenvector are used. Eigenvalues are a unique collection of scalar values linked to a set of linear equations, most commonly in matrix equations. […]

Factorization can be defined as the expression which can be written as the product of factors. When we factorize an expression, we write it as a product of factors. These factors might be numbers, algebraic expressions, or algebraic variables. Factorization can be implemented in real-life also. The examples are- calculations required while traveling, division of

A normed vector space is one that incorporates a norm. A seminormed vector space is one that possesses a seminorm. A practical modification of the triangle inequality is || x – y || ≥ | ||x|| – ||y|| | For any vectors x and y. Moreover, this demonstrates that a vector norm | α |

In Mathematics, a vector is a quantity that has both magnitude and direction. It is often represented by an arrow with the same direction as the amount and a length proportionate to the magnitude of the quantity. A vector, although having magnitude and direction, does not have a location. In other words, if a vector

The digital (logic) circuits are analysed and simplified using Boolean Algebra. It only uses binary numerals, which are 0 and 1. It’s also known as logical algebra or binary algebra. George Boole discovered Boolean algebra in 1854. The scope of Boolean algebra is highly constrained, and any Boolean variable can only have one of two

The triangle law of vector addition is a mathematical concept that is used to compute the sum of two vectors in two-dimensional space. In order to add two vectors, the first vector’s head is linked to the tail of the second vector, followed by attaching the tail of the first vector to the head of

Vector notation is a popular notation in mathematics and physics for representing vectors, which might be Euclidean vectors or, more broadly, members of a vector space.  The standard typographic approach for showing the vector is lower case, upright boldface font, as in v. The International Organization for Standardization (ISO) suggests using a bold italic serif,

A vector multiplication operation includes the scalar product and cross product, both of which are fundamental approaches in vector operations. The two types of vector multiplication will be discussed in detail in this article, as well as the differences between them. Have your notes on the following topics close at hand because we may need

The triangle law of vector addition is a mathematical concept that is used to compute the sum of two vectors in two-dimensional space. In order to add two vectors, the first vector’s head is linked to the tail of the second vector, followed by attaching the tail of the first vector to the head of

It is an algebraic operation in mathematics that takes two equal-length sequences of numbers (typically coordinate vectors) and returns a single number as a result of the operation. When two vectors’ Cartesian coordinates are combined, the dot product of their Cartesian coordinates is frequently employed in Euclidean geometry. Even though it is not the only