1. The problem statement, all variables and given/known data As you can see from the picture below this a 4x4 matrix with an unknown value, λ. My objective here is to find four values for λ so that the determinant of the 4x4 matrix is equal to zero. http://i49.tinypic.com/n4cenn.png 2. Relevant equations The above 4x4 matrix is the result of this equation |[K]- λ[M]| Where: http://i50.tinypic.com/fdrgy1.jpg 3. The attempt at a solution I have tried to use excel to solve this through iteration but couldnt make it how ever i did try different values for λ but the answer that i get for the determinant is always too high. i think there are 3 possible ways to solve this: either by hand calculations which i do not know how to do or by using excel to program a function for iteration or again by using excel and plotting two columns => 1st column (values of λ inside the matrix) which will change automatically giving the result of the determinant in the 2nd column from which a graph can be plotted and the values of λ could be read from the graph which i also tried to do but i was unable to make the values of λ inside the matrix change automatically and follow the 1st column which contained all the values for λ.