determinant of two by two matrix

Determine which two ratios form a proportion. => 45 8 , 22.5 4 or 2 3 , 7 9 or 5 7 , 35 21 or 2 5 , 200 340..

>If any two rows or columns of a determinant are equal, then its value is zero. If each element of a row or column of a determinant multiplied by k, then its value is multiplied by k. If two rows or columns of determinant are proportional, the value..

The sum of the products of the elements of any row (column) with their corresponding cofactors is equal to the value of the determinant. The sum of the products of the elements of any row (column) and the cofactors of the corresponding elements of any other row (column) is zero. Example: For a..

Determine which two ratios form a proportion. => 10 43 , 8 15 or 7 9 , 5 6 or 8 16 , 48 96 or 2 5 , 5 7..

Matrices and Determinants..

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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 matrix in which the number of rows is equal to the number of columns, say n, is called a square matrix of order n. In this square matrix of order n the elements a 1 1 , a 2 2 .......a n n is called the principal diagonal or the leading diagonal. T..

Determine whether the decimals represented by the two models are equal or not. => No or Yes..

In the right angled D ANC, Substituting for NC and AN in equation (1), we have The above equation (2) gives the magnitude of the resultant vector The same equation (2) can also be expressed in the following ways The direction of the resultant can be determined by calcu..