Worksheet: LDU and PLU Decomposition

In this worksheet, we will practice finding the LDU and PLU decompositions of a matrix.

Q1:

Find a PLU factoring of the matrix 121122211.

  • A100001010100210101121031001
  • B100001010100120101121031001
  • C100001010100210101121031001
  • D100001010100120101121031001
  • E100001010100130101122031001

Q2:

Find a PLU factoring of the matrix 121122241321.

  • A10000001001001001000310020101011121042001000
  • B10000001001001001000310020101011121042001000
  • C10000001001001001000310020101012121043001000
  • D10000001001001001000310020101011121042001000
  • E10000001001001001000310020101011121042001000

Q3:

Find a PLU factoring of the matrix 121212424112132.

  • A100001010100110201121210001100001
  • B100001010100110201121210001100001
  • C100001010100110201121210001100001
  • D100001010100110201121210001100001
  • E100001010100110201121210001100001

Q4:

Which of the following is a correct PLU factorization of the matrix 𝐴=01031002121011421030.

  • ALUP=1000210001100011,=10000012180022700015,=0010000110000100
  • BLUP=1000210001100011,=10114012180022700015,=0010000110000100
  • CLUP=1000110001100010,=10114012180022700015,=0010000110000100
  • DLUP=1000210001100011,=10114012180022700015,=0001001001001000

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