Understanding Why the Trace Equals the Rank in Idempotent Matrices 📊

This is #17 lecture of the lecture series on Linear Algebra. In this video, concept of how Rank of Idempotent Matrix is equal to the trace of Idempotent Matrix.

Linear Algebra is one of the most important branch of mathematics from the point of view of CSIR-NET and IIT-JAM exams. This video is going to be very useful for NET/IIT-JAM/TIFR/NBHM/SET aspirants.
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Lecture 01
https://youtu.be/Wx1i7ea5e-c
Lecture 02
https://youtu.be/o1WEnHPLfbc
lecture 03
https://youtu.be/ugzLhHxmoao
Lecture 04
https://youtu.be/N5MWxqZ9E2w
Lecture 05
https://youtu.be/6x3QRA5AYrI
Lecture 06
https://youtu.be/QA9bd22kcnk
Lecture 07
https://youtu.be/mvvng5-1kkE
Lecture 08
https://youtu.be/Nnv03awKrw0
Lecture 09
https://youtu.be/xPE02G5dN2g
Lecture 10
https://youtu.be/6FMZ52IX_pw
Lecture 11
https://youtu.be/WqFl5ZWiDdI
Lecture 12
https://youtu.be/Fo89pGUepLs
Lecture 13
https://youtu.be/uMDbF0iV1iM

Lecture 14
https://youtu.be/Mf3t6orPRFc
Lecturer 15
https://youtu.be/66j6oztIlik
Lecturer 16
https://youtu.be/RWZJnOFLGFo


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linear algebra lecture series
Matrix representation
Matrix representation of linear transformation
Linear transformation from a Matrix
Change of basis
Dimension of a space
Rank Nullity theorem
Linear transformation
Linear map
Hermitian matrix
Skew Hermitian matrix
Eigen Value and Eigen Vector of Matrix
Eigen Value of Hermitian and Symmetric Matrix
Eigen Value of Skew-Hermitian and Skew Symmetric Matrix
Eigen Value of Unitary and Orthogonal Matrix
Idempotent Matrix and it's important properties


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