Homework for Matrix Inverses

1. Inverses

• Determine if a square matrix is singular or nonsingular.
• Compute the inverse of a nonsingular matrix.
• Use the inverse of a nonsingular matrix $A$ to solve $A {\bf x} \,=\, {\bf b}.$

• Examples:
  • From http://linear.ups.edu/html/section-MISLE.html, read Example MI, Example CMI, and Example CMIAB.
• Homework:
  • From http://linear.ups.edu/html/section-MISLE.html, do Exercises MISLE.C16, MISLE.C17, MISLE.C18, MISLE.C19, MISLE.C21, MISLE.C22 (Note: $\mathcal{LS}(A,{\bf c})$ means the matrix equation $A {\bf x} \,=\, {\bf c}$), MISLE.C23, MISLE.C24, MISLE.C25, MISLE.C26, MISLE.C27, MISLE.C28, MISLE.C40, MISLE.C41, and MISLE.C42.
  • From http://linear.ups.edu/html/section-MINM.html, do Exercises MINM.C20, and MINM.C40.
• Use the following example and create your own problems: