...column of the matrix. A matrix can have any number of rows and any number of columns. A matrix that has the same number of rows as columns is called a square matrix. Identity and diagonal matrices The identity matrix is a square matrix in which the elements along the...

...with k rows and 1 column, and any scalar a 1 x 1 matrix. Matrix dimensions are referred to as rx c. A matrix with the same number of rows as columns is called a square matrix. Matrices are generally denoted by boldface uppercase letters, eg, A, B, X, etc. The (ij)th element...

...respectively. 7. SQUARE MATRICES DEFINITION 4. A matrix whose rows and columns have the same indexing set is called a square matrix. A square matrix with n rows and n columns is called a matrix of order n. Remark. It should be noted that a matrix for which the indexing sets of...

...is defined to be a rectangular array of numbers arranged into rows and columns. Any matrix which has the same number of rows as columns is called a square...matrix. A square matrix with n rows and n columns is often called an rt-th order matrix. In general an m X n matrix has m rows and n columns. Two matrices...

...or vice versa, is termed a rectangular matrix. The data matrix of Table 2.I is a rectangular matrix. Square matrices A matrix with the same number of rows as columns is called a square matrix. The elements, the row and column subscripts of which are the same, are said to form the principal diagonal...

...only a row or column in which case it is called either a row or a column matrix. A matrix which has the same number of rows as columns is called a square matrix. Examples of matrices and their dimensions are as follows: 1 7 6 248 2x3 1 7 6 2 3 5 3x2 2 1 7 6 2 x...

...ith row, /th column. There is no relation between the number of rows and the number of columns. Any matrix with the same number of rows as columns is...matrix. A square matrix with n rows and n columns is called an nth-order matrix. Two matrices, [A] and [B] are equaL written [A] = [B], if the corresponding...

...(across) and three columns (up and down). The dimension of this matrix is 2 X 3. A matrix that has the same number of rows as columns is called a square matrix. For example, В = 2-13 40-8 1 7 3 is a square matrix. Matrices are equivalent if they are the same...

...are not offset as indicated here, one must specify which is the first (row) index. A matrix that has the same number of rows as columns is called a square matrix. A square matrix such that A, =0 //•/*./ (7.2.23) is called a diagonal matrix. A diagonal matrix such that all the...

...of these data and set out the results in a matrix with three rows and three columns. as in Fig. 1.2. A matrix with the same number of rows as columns is called a square matrix. Here. for example. the sum of products of the second variate by the third is in the second row and...