Solution:Some features of matrices:-
1. Compatibility: For matrix products, the number of columns in the first matrix must equal the number of rows in the second matrix.
2. Identity matrix- A square matrix with a diagonal of Is and all other elements as Os (zero) is known as an identity matrix. Its used for matrix multiplication and finding inverses.
3. Addition and subtraction:- Matrices can be added and subtracted in the same way as numbers, but the matrices must be the same size.
4. Commutative property: The addition of two matrices is commutative, but the multiplication of two matrices is not.
5. Distributive property: The distributive property applies when a matrix is multiplied by a scalar and then combined with another arithmetic operation.
6. Sum property- The sum of a matrix's diagonal elements is called the trace or character of the matrix.
7. Linear algebra:- matrices are a key component of linear algebra, a branch of mathematics that's useful for solving system of linear equations.
8. Other features of matrices include: Scalar multiplication, symmetric matrices rectangular matrices Diagonal matrices, Null matrices, and zero matrices.