Question

Find the matrix of the quadratic form. Assume x is in set of real numbers R-squared.(a) 2x₁² + 12 x₁x₂ - 5x₂²(b) 6x₁x₂

Answer 1

The matrix is:

(2............6)

(6...........-5)

Explanation:

The coefficient of the squared terms (2 and -5) are written in the diagonal, and the coefficient of x₁x₂ (12) is split equally in each column.

The matrix is:

(2............6)

(6...........-5)