BY Team Aakash Byju's
Diagonal Matrix Explained With Examples:
NCERT Maths Class 12
Diagonal Matrix Definition
A square matrix in which all its non diagonal elements are zeros is called a diagonal matrix.
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Determinant of a Diagonal Matrix
A diagonal matrix's determinant is the product of its diagonal elements.
Example
Identity matrix and scalar matrix are the examples of a diagonal matrix.
Properties of Diagonal Matrix
Property 1
The sum of the diagonal matrix of same order gives a diagonal matrix.
Property 2
Transpose of the diagonal matrix A gives the same matrix.
Property 3
Diagonal Matrices are commutative under Multiplication.
i.e. AB = BA