Question

Let a = 2 5 -3 1 and b = 4 -5 3 k. What value(s) of k, if any, will make ab = ba?

Answer 1

The values of k that make ab = ba are any number.

Step-by-step explanation:

To find the values of k that make ab = ba, we need to multiply the matrices a and b and compare the result to the matrix product of b and a. Starting with the matrix multiplication, we have:

1. 
   
3. 
   

To make ab = ba, the values of k will be any number that satisfies -26 + k = -26 + k. In other words, any value of k will make the two matrices equal.