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MAT 343 is an online course involving linear algebra. It basically aims at Solving linear systems, matrices, determinants, vector spaces, bases, linear transformations, eigenvectors, norms, inner products, decompositions, applications and the problem solving using MATLAB. Students passing MAT 343 will be able to do the following tasks :

### 1) Using matrices in solving linear systems of equations.

Solving linear equations is a bit complex. After the discovery of matrices, it has become very easy to solve them. This concept is very important not only for passing this course but also it will help computer scientists a lot in the future.

### 2) Verifying whether it is a vector or not

Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces. It includes the study of lines, planes, and subspaces, but is also concerned with properties common to all vector spaces. This course will teach you how to deal with these vectors and more importantly how to identify whether it is a vector or not.

### 3) Determine eigenvalues and bases of eigenspaces

The v is an eigenvector of the linear transformation A and the scale factor λ is the eigenvalue corresponding to that eigenvector. is the eigenvalue equation for the matrix.

### 4) Find matrix representations of linear transformations and use them in applied problems.

This concept will teach you the representation of liner problems and equations in the matrix format. As told, solving linear equations is very much easy when solved in the matric form rather than solving it manually. Always pay attention to this topic.

### 5) Find bases of subspaces

In linear algebra and related fields of mathematics, a linear subspace, also known as a vector subspace, or, in the older literature, a linear manifold, is a vector space that is a subset of some other (higher-dimension) vector space.

Above are few outcomes one can see after passing this course. MAT 343 basically is a moderate course which can be classified as not too difficult not too easy. You need to work hard here because few concepts are difficult to understand. Concluding it, this course is comparatively easy than the other courses of its level. Happy studying 🙂

Raj Kothari