Matrices
Introduction - It is a rectangular array of numbers, arranged in rows and columns. The number of rows (say m) and the number of columns (say n) determine the order of the matrix. It is written as m x n (to be read as m by n). The plural of matrix is matrices. Matrix is usually denoted by ..
Matrices
A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracke..
Matrices and Determinants
Matrices : A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Deter..
Matrices and Determinants
Matrices - A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracke..
Types of Matrices
Row Matrix, Column Matrix, Square Matrix, Diagonal Matrix, Scalar Matrix, Identity or Unit Matrix, Null Matrix or Zero Matr..
Matrices and Determinants
Matrices and Determinants..
Matrices and Determinants..Matrices and Determinants
>If A, B and C are the matrices which can be multiplied then (a) Matrix multiplication is not commutative, i.e., AB BA (always) (b) Associative law holds good for matrix multiplication, i.e., (AB)C = A(BC) (c) Matrix multiplication is distributive with respect to addition A(B + C) = AB + ..
>If A, B and C are the matrices which can be multiplied then (a) Matrix multiplication is not commutative, i.e., AB BA (always) (b) Associative law holds good for matrix multiplication, i.e., (AB)C = A(BC) (c) Matrix multiplication is distributive with respect to addition A(B + C) = AB + ..Examples of Types of Matrices
is a 2 x 2 matrix. It is also called square matrix of order 2. C = [5 0 3] is a 1 x 3 matrix. It is also called a row matrix. is a 3 x 1 matrix. It is called a column matrix. is not a matrix because column three is incomplete. is a 2 x 3 matrix. It is called a zero matrix or a n..
is a 2 x 2 matrix. It is also called square matrix of order 2. C = [5 0 3] is a 1 x 3 matrix. It is also called a row matrix. is a 3 x 1 matrix. It is called a column matrix. is not a matrix because column three is incomplete. is a 2 x 3 matrix. It is called a zero matrix or a n..Properties of Symmetric and Skew Symmetric Matrices
1. A square matrix A is said to be skew-symmetric if A ' = -A. 2. The diagonal elements of a skew-symmetric matrix are all ze..
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