Let 20 0 4 0 0 A = 0 0 7 -3 0 2 2 (a) Find the characteristic polynomial of A and all eigenvalues of A. (b) What are the algebraic and geometric multiplicites of each eigenvalue. (Keep in mind the geometric multiplicity is always at least one and at most the algebraic multiplicity) (c) Is A diagonalizable?

How do I put the following phrase into an equation: for each 100kg of food produced, 5 additional kg of other material is added?

The sum of the squares of two numbers is 400 and the difference is 4.Use DNE if the answer Does Not Exist. Find the numbers. The larger number is    .The smaller number is    .