Let A be the following 3x3 square matrix. And I be the identity matrix of dimension 3x3. $latex A=\begin{bmatrix} 1 & 0 & 2 \\ 2 & 1 & 0 \\ 0 & 1 & 0 \end{bmatrix} $ Now, if we subtract λI from A, we will get the following: $latex (A- \lambda I)=\begin{bmatrix} 1 & 0...

What are determinants? The determinant of a square matrix is a scalar value that is obtained from the elements of the matrix. A determinant is defined only for a square matrix. And every square matrix has a unique determinant. For example, let A be the following 2x2...

In our previous article, we discussed what the row echelon form of a matrix is. We learned that a matrix is said to be in the row echelon form if the following conditions hold: 1. The first non-zero element of a row is to the right of the first non-zero elements of...

In our previous article, we discussed what the row echelon form of a matrix is. We learned that a matrix is said to be in the row echelon form if the following conditions hold: 1. The first non-zero element of a row is to the right of the first non-zero elements of...

In matrix algebra, we can use row reduction to modify the rows of a matrix in such a way that most of the key properties of the matrix remain intact. For example, we can linearly combine the rows of a matrix and then, transform the matrix in such a way that further...