MTH 261 FWH 2 - Homogeneous Equations and Matrix Arithmetic 1. Let X = "O co y = ONH C , either write v and w as linear combinations of x, y, and z, or show that it cannot be done. 2. Solve the homogeneous system of equations whose coefficient matrix is 1 - 2 2 A = 2 -4 1 - 2 -1 2 1 Write the solution set as a linear combination of basic 10 solutions. I do not need help with reducing, but how to wake the solutions when done so they look like this 3. Let x - 0 .> - janaz - [i] .x - [g] and ~- [:]. we get all to statements . determine whether v and w are linear combinations of x, y, and z. Are there numbers , ris ,+t , such that V=rx+ sy+ tz D r (!) + s ( ? ) + + ( ? ) - ( 2 ) or that = rx + sy + tz 2 lonear combinations ( # ) +5 ( 2 ) , = ( ? ) - ( : ) r =- k + 2 tis force No solutions . S = - K - 1 t = k let tak No , is is NOT a luear If K= 0: 2x - = v, so yes, combination of x , y + z . is a linear combination of * , yaz