Show (by calculation) that for any real numbers a and b, the matrices 1 a 0 2 _ and 1 b

Question

Problem 17

Show (by calculation) that for any real numbers a and b, the matrices 1 a 0 2 _ and 1 b 0 2 _ are similar. (Hint: Remember that when P is invertible, B = P 1AP PB = AP.)

Answer 1

Step-by-Step Solution:

Step 1 of 3

Let and

Then A and B are said to similar if there exists another matrix S such that

Chapter 4.3, Problem 17 is Solved

Step 2 of 3

Step 3 of 3

Solution for problem 17 Chapter 4.3

Show (by calculation) that for any real numbers a and b, the matrices 1 a 0 2 _ and 1 b

Chapter 4.3, Problem 17 is Solved