Matrix and mathematical induction

Question

Notes:

1) No late submissions will be graded.

2) Submit your assignment using the dropbox, which is located on the 1st floor of LAS.

3) You must do the assignment by yourself

4) Submit this assignment only if you have read and understood the policy on academic honesty on the course web page. If you have questions or concerns, please contact the instructor.

Question:

Let A =

And B =

Find A^tB?

Question: Use mathematical induction to show that 12ⁿ - 56 is divisible by 11 for n∈N.

Question: Show that x³log x is O(x4).