Chapter 7.3, Problem 53E

(a)

To determine

To write: the entries of the first three columns of B .

(b)

To determine

To explain: $f_A\left(\lambda \right)=f_B\left(\lambda \right)=h\left(\lambda \right)\left(-{\lambda }^3+c{\lambda }^2+b\lambda +a\right),$ for some quadratic polynomial $h\left(\lambda \right)$ .

(c)

To determine

To explain: $f_A\left(A\right)\overrightarrow{v}=\overrightarrow{0}$ .