a. Give an example of a (nonzero) skew-symmetric 3 x 3 matrix A, and compute A2. b. If an n x n matrix A is skew-symmetric, is matrix A2 necessarily skew-symmetric as well? Or is A necessarily symmetric?
MTH 132 - Lecture 26 - Newtonian method Roots ● Frequently, there are issues when we attempt to solve “imperfect” equations, where the roots result in imaginary numbers or no neat solution - we have to resort to an approximation. ● Newton’s method is essentially a way to approximate by narrowing down the numbers until they reach a specific accuracy that you specify. How does this work ● The concept of the IVT or intermediate value theorem guarantees the Newtonian method. Intermediate Value Theorem - Which Intervals are continuous ● If f(x) is continuous on the closed interval on [a,b] and c is between a and b; then there exists a point (d) on the interval [a,b] such that f(d) = c. Application of IVT: ● Prove the existe