Use a 100x100 matrix named 'agrid' Initialize the matrix values according to the following commands: alpha=.5; agrid=rand(100,100)>alpha Matrix elements in 'agrid' have the following character a. A 'live' cell is an element of the matrix 'agrid' having a value of one. b. A 'dead' cell is an element of the matrix 'agrid having a value of zero. c. Within the matrix, every cell has 'neighbors'

Along the edges, each cell has five neighbors

At the corners, each cell has three neighbors iii. Interior cells have eight surrounding neighbors