**10 Concepts You must know in Linear Algebra(GATE)-Properties of Determinants:** Linear Algebra is one of the Major parts of the GATE-Engineering Mathematics where you can find a minimum of 4 Marks in GATE Exam. The Numerical and the concepts in the linear Algebra are a bit easy to understand and to do in an easier manner. So, Never leave this Linear Algebra Topic in GATE exam. In this article, I will be explaining about all the 10 Concepts You must know in Linear Algebra and these concepts will help you in solving any type of question in GATE Exam.

## Topics Present in Linear Algebra for GATE Exam:

The Topics Present in Linear Algebra for GATE Exam are shown below.

1.Determinants

2. Adjoint and Determinant of a Matrix

3.Rank of a Matrix

4.A solution of Homogeneous and Non-Homogeneous Linear Equations

5.Eigen Values and Eigen Vectors

6.Cayley-Hamilton Theorem.

## 10 Concepts You must know in Linear Algebra(GATE):

The 10 Concepts You must know in linear Algebra are as follows.

1.Determinants (Basic Formulae)

2.In which of the following cases the value of a Determinant is Zero.

3.Proportional To each other

4. All Elements in the row or column are zero.

5.Consecutive order

6.Consecutive order of another kind

7.Scalar Matrix

8.Upper Triangular Matrix, Lower Triangular Matrix, Diagonal Matrix.

9.Numerical on Powers in Matrices

10.How to solve that the determinant contains more than 2 elements in a matrix.

All the concepts of Linear Algebra which are presented above are shown below in the form of a video where the tips related to all the concepts of Linear Algebra are present in a detailed manner.

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