Instruction

1

Write down the given

**matrix**. Determine the dimensionality. To do this, count the number of columns n and rows m. If for one**matrix**m = n, the matrix is considered to be square. If all the elements**of the matrix**equal to the zero matrix is zero. Define the main diagonal of the matrices. The switching elements are arranged from the upper left corner**of the matrix**to the bottom right. Second, the inverse of a diagonal**matrix**is a by.2

Spend the transposition of a matrix. To do this, replace each matrix row elements on the column elements relative to the main diagonal. The element A21 will be the element A12 in

**the matrix**and Vice versa. At the end of each of the source**matrix**get a new transposed matrix.3

Fold the given

**matrices**if they have the same dimension m x n. To do this, take the first element**of the matrix**A11 and fold it to the corresponding element b11 of the second**matrix**. The result of adding record in a new matrix at the same position. Then fold the elements A12 and b12 of both matrices. Thus complete all rows and columns summing**matrix**.4

Determine whether the given

**matrix is**consistent. To do this, compare the number of rows n in the first**matrix**and the number of columns m of the second**matrix**. If they are equal, perform the product of matrices. For this pairwise multiply each element of the row of the first**matrix**to the corresponding element in the column of the second**matrix**. Then find the sum of these products. Thus, the first element of the resulting**matrix**g11 = A11* b11 + A12*b21 + A13*b31 + ... + а1м*bn1. Perform the multiplication and addition of all works and fill in the result matrix G.5

Find the determinant or determinants for any given

**matrix**. For matrices of the second order - dimension 2 by 2 determinant is the difference of products of elements of main and secondary diagonals**of the matrix**. For the three-dimensional**matrix**formula of the determinant: D = A11* A22*A33 + A13* A21*A32 + A12* A23*A31 - A21* A12*A33 - A13* A22*A31 - A11* A32*A23.6

To find the minor of a particular element of the zero

**matrix**the row and column where is located this item. Then define the determinant of the obtained**matrix**. This will be a minor element.