1.Derive the matrix formula for the coefficients of a linear model
2.Derive the matrix of velocity exchange for a couple colliding balls
3.Orthogonal operator versus orthogonal matrix (derive the basic property of an orthonormal matrix from a general definition of an orthogonal transformation). Prove existence of a rotation axis for 3D space
1.Derive the matrix formula for the coefficients of a linear model 2.Derive the matrix of velocity...
4. Consider the linear model Y = XB+e, where e MV N(0,021). (1) Derive the formula for , the least square estimate of B, using the matrix notation (2) Show that ß is an unbiased estimate for B. (3) Derive the formula for var(), using matrix notation.