dimensions of a matrix tutorial

Which of the following is a zero matrix of dimensions 3 × 2 ? => ( 0 0 0 0 0 0 ) or ( 0 0 0 0 0 0 ) or ( 0 0 0 0 0 0 0 0 0 ) or ( 0 0 0 0 )..

State the dimensions of the product matrix M 5 × 1 N 2 × 1 . => 5 × 2 or Not defined or 5 × 5 or 2 × 5..

A 1 × 5 , B 5 × 4 and C 5 × 4 are three matrices, then the dimensions of the product matrix A (B + C ) are => 1 × 4 or Not defined. or 5 × 4 or 5 × 5..

A matrix of order m x n whose elements are all 0 is called a null matrix (or zero matrix) of order m x n. It is usually denoted by O or more clearly [O] m , n..

A scalar matrix is a diagonal matrix in which all the diagonal elements are equa..

A matrix having only one row is called a row-matrix. For example: A[1 3 2 -2] is a row matrix of order 1 x..

A square matrix A is said to be singular if |A| = ..

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 denot..

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. Matrices are denoted by capital..