math games about area

We have already learnt in the previous class that the area of triangle whose vertices are (x 1 , y 1 ), (x 2 , y 2 ), (x 3 , y 3 ) is given by Hence area of a triangle having vertices at (x 1 , y 1 ), (x 2 , y 2 ) and (x 3 , y 3 ) is given by..

Application of Determinants - Now we shall discuss the use of determinants in finding the area of a triangle and in the solution of simultaneous equation..

Application of Determinants, Area of a Triangle, Cramer's rule for the solution of a system of equations in 2 variables, Consistency of a system of linear equation. Application of Matrices, Homogeneous Equations (Constant = 0), Non Homogenous Equations (Solution by the Matrix..

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 Gauss-elimination method, Gauss-Jordan metho..

[A i j ] where A i j is the co-factor of the element a i j . Adjoint of A is denoted by Adj A. Note that the concept of adj is only for square matrix. A square matrix A is said to be non-singular if |A| 0. Let A be a square matrix of order n. If there exists a square matrix B of order n, such that ..

Two players spin the spinner shown. Mike gets a point if the spinner lands on the colored area. Ashley gets a point if it lands on the uncolored area. What is the odd of Mike winning the game? Determine whether it is a fair game or not. => 1:2, Unfair or 1:2,..

Sam, Andy, and Clara are playing a game. Each has to roll a die thrice. In each roll, if the die stops on red portion, then Sam will win. If it stops on blue, then Andy wins and if it stops on green area, then Clara would win the game. Find the probability of Andy winn..

Greg and Linda are playing a game spinning a spinner that has more red than yellow. The game is ________ game. => an unfair or I don′t know. or a red or a fair..

Which is a fair game? => Toss a coin twice. You win if you get head both times and your friend wins if he gets tail both times. or Toss a coin ten times. You win if you get head always and your friend wins if he gets 5 heads and 5 tails. or There are 2 green, 5 black, and 7 blue pebbles i..

Which of these games is fair? => Toss a coin five times. You get 2 points for each head. Your friend gets 1 point for each head. or Roll a dice 10 times. You win if you roll a 3 seven times. Your friend wins if she rolls a 3 five times. or There are 5 gray, 5 black, and 5 blue marbles in ..