Restate the question: "What is the order of a matrix?" The order of a matrix tells the number of rows and columns in the matrix. For instance, a matrix with 3 rows and 4 columns is a 3x4 matrix ("three by four"). A square matrix has the same number of rows and columns: 2x2
It is not possible. The number of columns in the first matrix must be the same as the number of rows in the second. That is, matrices, X (kxl) and Y (mxn) can only be multiplied [in that order] if l = m.
No. The number of columns of the first matrix needs to be the same as the number of rows of the second.So, matrices can only be multiplied is their dimensions are k*l and l*m. If the matrices are of the same dimension then the number of rows are the same so that k = l, and the number of columns are the same so that l = m. And therefore both matrices are l*l square matrices.
Tthe matrix multiplication A*Bis defined only if the number of columns in the first matrix, A, is the same as the number of rows in the second, B. Note that the condition for the multiplication of B*A will be the reverse.
The identity matrix is a square one with ones (1s) down its main diagonal and zeroes (0s) elsewhere. That is, it must have the same number of rows as columns, and where the row number is the same as the column number, the entry must be 1, elsewhere, it must be 0.
It is an array with the same number of rows and columns.
Since the columns of AT equal the rows of A by definition, they also span the same space, so yes, they are equivalent.
No. Both have cells, but rows are horizontal and columns are vertical.
A square array is an array in which the number of rows is the same as the number of columns.
No.Two matrices A and B can be added or subtracted if and only if they have the same number of rows and columns. That is a 3 x 2 matrix can be added or subtracted only with another 3 x 2 matrix.
The minor is the determinant of the matrix constructed by removing the row and column of a particular element. Thus, the minor of a34 is the determinant of the matrix which has all the same rows and columns, except for the 3rd row and 4th column.
Columns and rows can be swapped by transposing them. You can copy a row of cells and using Paste Special and the Transpose option the data can be put into columns. You can do the same with data in columns and transpose them into rows. There is also a Transpose function in Excel.