Diagonal Matrix & Properties Explained 📊

37/1000 | Diagonal Matrix & Properties
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In this Video, we will learn:
00:00 Introduction
00:11 Example of Diagonal matrix
01:40 Definition of Diagonal matrix
02:50 Important Points on Diagonal matrix
03:35 Standard Form of Diagonal matrix
04:55 Properties of Diagonal matrix
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Query Solved -
Diagonal matrix and its Properties
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Introduction of matrix algebra
notation and terminology of matrix algebra/special types of matrices/square matrix/row Matrix column matrix/unit Matrix or identity matrix/coefficient matrix/augmented matrix/null matrix aur zero matrix/diagonal matrix/scalar matrix/upper and lower triangular matrices/orthogonal matrix/idempotent matrix/involuntary matrix/nilpotent matrix/trace of a matrix/equality of two matrices/properties of matrices/addition and subtraction of two matrices/multiplication of matrices/multiplication of a matrix by a scalar/properties of matrix multiplication/transpose of a matrix/symmetric and skew symmetric matrices/transposed conjugate hermitian and skew hermitian symmetric/elementary transformation or elementary operations/the inverse of a matrix/the inverse of a square matrix is unique/some special points on inverse of a matrix/method of finding the inverse by elementary operations/echelon form of a matrix/rank of a matrix/canonical form of a matrix/condition for consistency theorem/linear systems of equations/homogeneous systems of linear equations/systems of linear nonhomogeneous equations/condition for inconsistent solution/characteristic root and vectors eigenvalues and eigenvectors/some important theorems on characteristic roots and characteristic vector/nature of the characteristic roots/the Cayley Hamilton theorem/similarity of matrices/diagonalisation matrix



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