In the name of ALLAH, the most beneficient, the most merciful

Linear Algebra (MTH501)

Question (select most suitable option)

  If \( Ax^r = b^r \) and factorization of A is LU, then which of the following pair of equations can be used to solve \( LUx^r = b^r \) for value of '\( x^r \)'?
\( Ux^r = y^r \) and \( Ly^r = b^r \)
\( Lx^r = y^r \) and \( Uy^r = b^r \)
\( Ub^r = y^r \) and \( Ly^r = x^r \)
\( Lb^r = y^r \) and \( Uy^r = x^r \)