IA_2016s2_ass3_hs - Mathematics IA Assignment 3 Semester 2 2016 Algebra Consider the matrix A given by 1 1 1 1 1s 1s s 1 s s2 s for s R(a For which

IA_2016s2_ass3_hs - Mathematics IA Assignment 3 Semester 2...

This preview shows page 1 - 2 out of 3 pages.

Mathematics IA Assignment 3 Semester 2, 2016 Algebra Consider the matrixAgiven by11111-s1-s-s1-ss2-sforsR.(a) For which values ofsdoes the inverse exist, and why? You needto quote a result or theorem from lectures to justify your answer.(b) In the process of calculating part a), you will come across a rowoperation that will not work for all values ofs, and in fact thesevalues ofsmakeAa non-invertible matrix.Write down theelementary matrix for this row operation. Solution:

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture