Lecture Notes

Sample Quiz 7 Questions

• What is $A^{-1}$ if $A = \begin{bmatrix} 1 & 0 & 1 \cr 0 & 1 & 1 \cr 0 & 0 & 1 \end{bmatrix}$
• Write $B = \begin{bmatrix} 1 & 2 & 3 \cr 4 & 5 & 6 \cr 7 & 8 & 9 \end{bmatrix}$ in row-echelon form.
• What are the image and kernel of the matrix $C = \begin{bmatrix} 1 & 1 & 1 \cr 1 & 2 & 1 \cr 2 & 3 & 2 \end{bmatrix},$

find a basis for the image and kernel of $C$.