61. 1 Prove that every solution x of a consistent matrix equation Ax = b can be written as x = xp + xh, where xp is a fixed solution of Ax = b and x,...

Prove that every solution x of a consistent matrix equation Ax=b can be written as x= xp + xh, where xp is a fixed solution of Ax= b and xh e nullspace (A)

61. 1Prove that every solution x of a consistent matrix equation Ax = b can be written as x = xp + xh,where xp is a fixed solution of Ax = b and x, E nullspace(A). Hint: compute A(x -xp). Whatdoes this imply?