This course is part of the Mathematics for Machine Learning and Data Science Specialization by DeepLearning.AI. After completing this course, learners will be able to: Represent data as vectors and ...

Projections projv Find the projection of a vector onto another vector perpv Find the perpendicular of a vector onto another vector projp Find the projection of a ...

Matrices and determinants are very powerful tools in circuit analysis and electromagnetics. Matrices are useful because they enable us to replace an array of many entries as a single symbol and ...

There are some familiar properties of vector addition and scalar multiplication — like the fact that if you multiply a vector by the scalar zero, you get the zero vector — which aren’t listed in the ...

The Clifford algebra is a unification and generalization of real number, complex number, quaternion, and vector algebra, which accurately and faithfully characterizes the intrinsic properties of space ...

A comprehensive theory of the matrix linear equation AX + XB = C is presented. The equation is viewed as a vector equation LX = C in the vector space of all m × n matrices. As the main result, two ...

In this paper, the electromagnetic field strength and the Lorentz force in Geometric Algebra Cl 3,0 will be calculated, and their equivalent in the tensor covariant formalism will be compared, ...