Algebra

chapter of the in-progress book on linear algebra, “A birds eye view of linear algebra”. The table of contents to date: Stay tuned for future chapters. Here, we'll describe operations we will do with two...

In the primary story of this series, we've got: Addressed multiplication of a matrix by a vector, Introduced the concept of X-diagram for a given matrix, Observed behavior of several special matrices, when being multiplied by...

We predict basis-free, we write basis-free, but when the chips are down we close the office door and compute with matrices like fury.Linear algebra is a fundamental discipline underlining anything one can do with...

Looking under the hood on the matrix operations behind linear regression11 min read·12 hours agoFitted ValuesWe've got now used some linear algebra to seek out the best-fitting parameters for a straightforward linear regression model....

. So if we now have two transformations represented by the matrices A1 and A2 we will apply them consecutively A2(A1(vector)).But that is different from applying them inversely i.e. A1(A2(vector)). That's the reasonIn this...

We also can apply multiple consecutive transformations to a vector. So if we've two transformations represented by the matrices A1 and A2 we will apply them consecutively A2(A1(vector)).But that is different from applying them...