Singular Matrix Inconsistent

Introduction to singular matrix inconsistent:
Generally, matrix is a rectangular array of numbers it contain both the row and coulombs. In that array contains the item in the matrix is called an entry or an element.

Singular matrix inconsistent

The determinant value of the matrix is 0 means that kind of matrix is called the inverse matrix and this matrix have no inverse Inconsistent means it has no solution so the type of the singular matrix is also called the singular matrix inconsistent.

Singular Matrix Inconsistent-singular Matrix is a Square Matrix

Singular matrix is a square matrix that means the horizontal and vertical dimensions of the matrix are related same (n x n matrix). Both the rows and columns are same.

Note that:

The singular matrix inconsistent has no inverse it will be proofed by the below example,

Formula:

If the matrix `bbA` =`[[a,b],[c,d]]`

Formula for the inverse is

A-1 = `1/A``[[d,-b],[-c,a]]`

Singular Matrix Inconsistent-problems

Example for singular matrix inconsistent 1:

The matrix value of = find out the value of inverse of A.

Solution :

The inverse of A is A-1

Here first we have to find the determinant of A = (4 * 1) - (2 * 2)

= 4 – 4 = 0

The value of determinant is zero so it has no inverse and the above matrix is a singular matrix inconsistent.

My forthcoming post is on Properties of Natural Logarithms, What is the Metric Unit for Length will give you more understanding about Algebra.

Example for singular matrix inconsistent 2:A square matrix A is said to be singular matrix if | A | = 0 is called the Singular Matrices

Solution:

A= is a singular matrices.

|A| = -2 +3

|A| = 1(45-48)-2(36-42)+3(32-35)

|A| = -3+12-9

|A| = -9+9

|A| = 0

Here  |A| is the singular matrices

The determinant of A is 0 that declare the singular matrices. If the determinant of A has any value (non zero values) is said to be non-singular matrices.