Question

Find the values of a and b such that v = au * bw, where u = 1, 2 and w = 1, -1. Given that v = 1, -16.

Answer 1

To find the values of a and b such that v = au * bw, substitute the values of u and w into the equation. Given that v = 1, -16, we can deduce that a = 1 and b = -16.

Step-by-step explanation:

To find the values of a and b such that v = au * bw, we can substitute the values of u and w into the equation. Given that v = 1, -16, we have:

1 = a * 1 * b * 1

-16 = a * 1 * b * -1

From the first equation, we can see that a * b = 1. And from the second equation, a * b = -16. Therefore, a * b must equal both 1 and -16. This is only possible if a = 1 and b = -16.