What number b in \begin{bmatrix} 2 & b \\ 1 & 0 \end{bmatrix} makes A = Q\wedge {Q}^{T} possible? What number makes A = S\wedge {S}^{-1} impossible? What number makes {A}^{-1} impossible?
What number b in \begin{bmatrix} 2 & b \\ 1 & 0 \end{bmatrix} makes A = Q\wedge {Q}^{T} possible? What number makes A = S\wedge {S}^{-1} impossible? What number makes {A}^{-1} impossible?
Symmetry gives Q\wedge {Q}^{T} if b = 1;
repeated \lambda and no S if b = -1;
singular if b = 0.