Homework SourseLet A Explain why the following is true If the rows of A
Let A = [ ]. Explain why the following is true: \"If the rows of A add up to the same number k (i.e., if a + b = k and c + d = k), then k is a stretch of A corresponding to stretch direction [ ].\" Your explanation should include at least 3 sentences. You can use examples or sketches to help if you like.
Solution
Consider the matrix provided and use the explanation as,
if a+b = k and c+d = k
then
A [1,1] = [a+b , c+d] = [k, k] = k [1, 1]
k is an eigen value and [1,1] is an eigen vector.
![Let A = [ ]. Explain why the following is true: \](/WebImages/19/let-a-explain-why-the-following-is-true-if-the-rows-of-a-1041526-1761541090-0.webp "Let A = [ ]. Explain why the following is true: \")
