Another variation on Cholesky starts at the lower right-hand corner and constructs an upper triangular matrix R such that a positive definite matrix A can be factored as A = RRT . Show the algebra for...

Another variation on Cholesky starts at the lower right-hand corner and constructs an upper triangular matrix R such that a positive definite matrix A can be factored as A = RRT . Show the algebra for the induction step and apply this method to the 3 × 3 matrix

                            9 2 −2 210 −20 4