3 by 3 determinant

Determinants - Let A = [a ij ] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the ..

Let A = [a ij ] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the determinant of th..

Find the perimeter of the quadrilateral determined by the points (- 3, - 1), (- 1, 3), (7, 3), (5, - 1). => 24.944 units or 17.888 units or 16.484 units or 8.944 units..

Identify the mapping diagram for the relation and determine whether it is a function or not. {(3, 5), (3, 6), (- 3, - 6), (2, - 6)} => Figure 1, Relation is not a function. or Figure 2, Relation is a function. or Figure 3, Relation is not a function..

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..

The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by replacing resp..

Determine whether the relation represented by the set of ordered pairs is a function. Give the domain and range, if it is a function. (- 3, - 3), (- 3, - 4), (2, 5), (3, 6). => It is a function, domain: - 3, 2 and 3, range: 2, - ..

Determine whether the relation represented by the set of ordered pairs below is a function or not. (1, - 3), (4, - 3), (- 6, - 3), (1, 1). => It is not a function. or It is a function. or It is a function with same domain and range. or cannot be determin..

Avagadro's law helps us to determine the molecular formula of gases like ammonia, carbon dioxide, sulphur dioxide etc. Exampl..

To Determine Molecular Size - A solution of known concentration of oleic acid in alcohol is prepared. Let 1 cm 3 of oleic acid be dissolved in 500 cm 3 of alcohol to get concentration. Let n drops of this solution be poured on a water surface contained in a flat and br..