Introduction to row spaces, columns spaces and null spaces For any given matrix ‘A’ of order mxn, there are three types of spaces associated to them: row(A), col (A), and null (A). These spaces are linked with the solution of Read More …
Category: Linear Algebra
How to diagonalize a matrix? Example of diagonalization
Diagonalization of a matrix How to diagonalize a matrix? Example of diagonalization. An nxn matrix A is said to be diagonalizable if there exists an invertible matrix P such that A=PDP–. Procedure for diagonalizing a matrix For diagonalizing a matrix Read More …
What are the Block Matrices?
Introduction to Block Matrices What are the Block Matrices? In matrix multiplication, whenever the order is high and we have some repeated entries in the matrix we prefer to use the concept of block matrices multiplication. In this approach a Read More …
What are the matrices and their types ?
Why do we use linear algebra? What are the matrices and their types ? Linear Algebra is the branch of mathematics in which we study about the all the physical systems that can be modeled as linear systems. Linear algebra Read More …
How to perform similar matrices transformation?
Introduction to similar matrix and similar matrix transformation How to perform similar matrices transformation? Two square matrices A and B of the same order nxn are said to be similar if there exists an invertible matrix P such that B=P-1AP. Read More …
What are the nodal incidence matrices?
What are the nodal incidence matrices? What are the nodal incidence matrices?. Nodal incidence matrices (NIM) are used for electrical network modeling. Any network consisting of larger number of branches or edges and nodes can be modeled through them. The Read More …
What is the span of a vector space?
Introduction to span of a vector space For the given set of vectors v1,v2,v3,……vn that belong to a vector space V and non-zero constants c1,c2,c3,….cn if they can generate another vector x(x1,x2) using the relation c1v1+c2v2+c3v3+…….+cnvn=x then we will say Read More …