For my linear algebra class , I got this question wrong but there was no provided solution. Any help would be appreciated! I will upvote response

2. One nice connection between Quadratic Forms and Inner Products is that when evaluating (u, u ) to test for positive definiteness, you MUST get a quadratic form. In R3, let u = and v = y and define the inner product C Z (u, v) = (4a + b - c)a + (a+ 46 + c)y + (-a+ b+4c)z. Prove that this inner product is indeed positive definite using methods involving quadratic forms