Examples of arithmetic sequences. Here it’s all about the arithmetic sequence. Have a look! Arithmetic sequence Well, it’s an old topic from high school. So I’ll not go into much detail. Suppose I have a sequence like . Here is the first term and is the common difference in the sequence. Then this sequence is […]
Inverse matrix method. Here it’s about the inverse matrix method to solve a system of equations. Have a look! Inverse matrix method There are several ways to solve a set of equations in matrix algebra like Gaussian elimination method, Row transformation method, LU method and so on. The inverse matrix method is also one of […]
Inverse of a matrix. Here it’s all about the inverse of a matrix. Have a look!! The inverse of a matrix Suppose is a square matrix. Then the inverse of the matrix is . Also . Here is the unit matrix or identity matrix. Now, to get the inverse of the matrix , I will follow a […]
Row transformation method to solve a set of equations. Today it’s about Row transformation method in matrix algebra to solve a set of equations. Have a look!! Row transformation method to solve a set of equations There are several ways to solve a set of equations in matrix algebra like Gaussian elimination method, inverse method, LU […]
Laplace transform of a function divided by variables. Today it’s about Laplace transform of a function divided by variables. Laplace transform of a function divided by variables Suppose the Laplace transform of any function is . This means Now I divide the function with a variable, say Then the new function will be Next, […]
Nature of solutions of a set of equations using matrices. Today it’s all about the nature of solutions of a set of equations using matrices. Nature of solutions of a set of equations using matrices Suppose I have a set of equations like Now I have to find out the nature of the […]
L’Hôpital’s rule to evaluate limits of functions. Today it’s all about L’Hôpital’s rule to evaluate limits of functions. Have a look! L’Hôpital’s rule to evaluate limits of functions Well, the first question is: what is L’Hôpital’s rule? Now here I try to explain it in a simple way. Suppose I have function like Now I have […]
Rank of a rectangular matrix. Here it’s about the rank of a rectangular matrix. Have a look!! Rank of a rectangular matrix Suppose a matrix has 2 rows and 2 columns. Then it is a square matrix. Also, any matrix with 3 rows and 3 columns will also be a square matrix. But if the matrix […]
Rank of a square matrix. Here it’s about the rank of a square matrix. Have a look!! Rank of a square matrix Suppose a matrix has 2 rows and 2 columns. Then it is a square matrix. Also, any matrix with 3 rows and 3 columns will also be a square matrix. But if the matrix has 2 […]
First-order partial derivative of functions with three variables. Dear friends, today’s topic is the first-order partial derivative of functions with three variables. In general, we all have studied partial differentiation during our high school. So this is more like a re-visit to the good old topic. Have a look!! First-order partial derivative of functions with three […]