solving determinant

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..

Conclusion - We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gaus..

Graphical Method of Solution of a Linear Programming Problem - So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize) the objective func..

Solve the system of equations. Determine whether the system is consistent and independent, consistent and dependent, or inconsistent by using augmented matrices. x + 4 y = 8 4 x + 16 y = 5 => (- 8, - 27); consistent and dependent or (8, - 27); consistent and independent or no so..

Brian and his friends decided to raise funds for a charity. Solve the inequality 30 - h ≤ - 120 to determine the minimum amount in dollars they decided to collect by making cakes and selling them. => $150 or less or $200 or less or $150 or more or $160 or more..

Solve the equation 4( x + 11) = 4 x + 16 and determine whether it has one solution, no solution, or is an identity. => One solution or No solution or Identity..

Solve the equation 2( x + 9) = 2 x + 6 and determine whether it has one solution, no solution or is an identity. => not enough information given or one solution or no solution or an identity..

Solve the equation 2( x + 2) = 2 x + 4 and determine whether it has one solution, no solution, or is an identity. => no solution or not enough information given or one solution or an identity..

Solve the system of equations. 3 x + 4 y = 8 x - 6 y = 10 Determine whether the system is consistent and independent, consistent and dependent, or inconsistent by using augmented matrices. => (4, - 1); consistent and independent or (0, 0); inconsistent or (4, 1); consistent and ..

Determine the maximum number of positive and negative real solutions of the equation P ( x ) = x 4 - 4 x 3 + 7 x 2 -16 x +12= 0. Then solve the equation. => Positive: 1, Negative: 1, x = 1, - 3, 2 i or Positive: 4, Negative: 0, x = 1, 3, ± 2 i or Positive: 0, Negative: 4,..