Indicate whether the following statements are either true or false. For false statements, give a true version. 1.1 If A is a p x (1 matrix, then X'Ax is positive denite for all x 75 0. (2) 1.2 The quadratic form 3x? + 4x22 + 6x; + 2x1x2 + 4x1x3 + 10x2x3 can be written in matrix notation as 3 1 2 x1 X'AX:[x1 x2 x3] 1 4 5 x2 2 5 6 x3 (2) 1.3 lfA is a symmetric p x p matrix, then % (X'AX) : ZAX. (2) Y Y is said to have a noncentral chisquare distribution with . 1 p degrees of freedom and noncentrality parameter ,1 : 2p,'p. (2) 0' 1.4 ConsiderY ~N (p, 021?} , then 02 1 1 1.5 The distribution of E (yf + yi) is Xi}. where A = 51\"!\" The number of degrees of freedom for this distribution is 5. (2)