Matrix definition all types ppt

Matrix definition all types ppt

Matrix definition all types ppt:

(1) A matrix has only one row is called row matrix and enclose within brackets.

Example:

Matrix definition all types ppt

(2) A matrix is called a column matrix if it has only one column and enclosed with brackets.

Example:

column

(3)  If A matrix has same row and column and enclosed with brackets is called square matrix.

Example:

(4) A matrix, each of the entries has zero is called null matrix or zero matrix.

Example: in the link down

symmetric Matrix of 3 by 3 square matrix

Matrix definition all types ppt:

(5) changing the number of rows into column or column into row is called transpose of a matrix.

Example;

(6) if we take transpose of a matrix, then matrix position does not change the matrix is called symmetric matrix.

Example: Symmetric matrix of 3 by 3

(7) By multiplying of matrix negative sign (- negative) the resulting matrix is  –  A is called negative matrix.

Example:

(8) if we take matrix transpose, the resulting matrix is negative matrix means – A is said skew symmetric matrix.

Example:

transpose of A = –  A

(9) A matrix has all diagonal entries 1 is called diagonal matrix.

Example:

identity matrix multiply diagonal

(10) (i) order of B = order of C (ii) if all entries are same : these are the matrix are equal matrix.

(11) multiplication of two matrixes A and Matrix B.then A is called identity matrix.

If.  A × B= B= B×A

Identity matrix multiply diagonal

(12) Let \, \, B=\begin{bmatrix} a &b \\ c& d \end{bmatrix}be \, 2\, \, by\, \,matrix the real number λ is called the determinant of B, denoted by det. B such that

Example image 

(13) A square matrix is called singular , if the determinant of B equal to zero.

(14) For a matrix B= \begin{bmatrix} a &b \\ c &d \end{bmatrix},adjoint\, of \, B\, is \, defined\, by\, AdjB=\begin{bmatrix} d &-b \\ -c & a \end{bmatrix}

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