Question

if A=$\left[\begin{array}{ccc}1&-2\\2&-1\end{array}\right]$, B=$\left[\begin{array}{ccc}a&1\\b&-1\end{array}\right]$ and (A+B)$x^{2}$=A$x^{2}$+B$x^{2}$, Find a and b.

Answer 1

Let X,Y and Z be three jointly continuous random variables with joint PDF

fXYZ(x,y,z)={

1

3

(x+2y+3z) 0≤x,y,z≤1

0 otherwise

Find the joint PDF of X and Y, fXY(x,y).