Solving Coordinate Vector Problem

By facebooker_2190099164351935
  • 1 CE

    Write Polynomials in Coordinate Vector From

    Write each polynomial as a vector with respect to the basis B
  • 2

    Create Matrix w/ Coordinate Vectors & Reduce

    Create a matrix that is made up of the vectors obtained in step 1 and reduce to RREF
  • 3

    Determine if Set S is a Basis for Pn

    If the reduced matrix is the identity matrix, then the set S is a basis for Pn
  • 4

    Create Augmented Matrix

    Create augmented matrix with previous matrix and p(x)
  • 5

    Reduce to Find C

    Reduce to find C1 - Cn
  • 6

    Express p(x) in Terms of S

    Express p(x) as a vector in terms of the Basis S based on the results of C