Here we explain how to compute the determinant of a matrix using cofactor expansion. First you will find what minors and cofactors are (necessary to apply the cofactor expansion method), then what the cofactor expansion is about, and finally an example of the calculation of a 3×3 determinant by cofactor expansion. Minor and Cofactor Before …
We explain how to solve the determinant of a 4×4 matrix with an example. Also, you will find solved exercises so that you can practice and perfectly understand how to compute the determinant of a 4×4 matrix. How to find the determinant of a 4×4 matrix using row operations and cofactor expansion Let’s see how …
Here we explain how to find the determinant of a 3×3 matrix using the cofactor expansion method or using the shortcut method. Also, you will see examples of the computations of 3×3 determinants and, finally, you will find solved exercises so that you can practice and perfectly understand how to evaluate the determinant of a …
Here we explain what the Rule of Sarrus is and how to find the determinant of a 3×3 matrix using the Rule of Sarrus. In addition, we will discuss whether the Rule of Sarrus can also be used to compute a 4×4 determinant or not. And, finally, you will see solved exercises of 3×3 determinants …
On this post we explain you what the determinant of a 2×2 matrix is and how to find the determinant of a 2×2 matrix. In addition, you will find examples and exercises solved step by step on how to solve determinants of order 2, so that you can practice and understand perfectly how to do …
On this post we explain how to calculate the power of a matrix. Here you will find examples and exercises solved step by step of matrix powers that will help you understand it perfectly. You will also learn what the nth power of a matrix is and how to find it. How to find the …
On this post you will see how to calculate a matrix multiplication. We explain the procedure of multiplying matrices step by step through an example, and then you will find solved exercises so that you can also practice. Finally, you will learn when two matrices cannot be multiplied and all the properties of this matrix …
On this post we explain how to multiply a matrix by a scalar (number). You will see examples of scalar multiplications of matrices that will help you understand it perfectly and solved exercises so that you can practice. You will also find all the properties of the product of a scalar and a matrix. How …
On this post we explain how to do the matrix addition and subtraction. In addition, you will see examples of addition and subtraction of matrices. Also, you will find problems to practice these matrix operations. And, finally, we will show you all the properties of the matrix addition. How to add and subtract matrices? To …
On this post, we explain how to find the transpose of a matrix. You will also see solved problems so that you have no doubts about how to transpose a matrix. And finally, we will show you all the properties of the transpose of a matrix. How to find the transpose matrix? To find the …
