Not sure where to start on this, please explain. Solve the following problems, s

Question

Not sure where to start on this, please explain.

Solve the following problems, showing any necessary work. Let A = . Find a basis for the null space of A, a basis for the row space of A, a basis for the column space of A, the rank of A, and the nullity of A. Let A = . Find the eigenvalues of A, and for each eigenvalue lambda, find a basis for the eigenspace of A belonging to lambda. Is the matrix A diagonalizable? If so, find matrices P and D such that D is a diagonal matrix and A = PDP-1; if not, explain carefully why A is not diagonalizable.

Explanation / Answer

reduction half reaction
Fe^3 + e- .......> Fe^+2 ........1

oxidation half reaction
MnO4^- .....> Mn^+2 +4H2O
MnO4^- +8H+ .....> Mn^+2 +4H2O + 5e- .....2

add 5 x eq.1 and eq.2
5Fe+3 +5e-.....> 5Fe+2
MnO4^- +8H+ .....> Mn^+2 +4H2O + 5e-
.................................................................................
MnO4^- + 5Fe+3 +8H+ .....> Mn^+2 +4H2O + 5Fe+2

Related Questions

Navigate

• Browse (All)
• Browse N
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.