Question

Find matrix A for the quadratic form in Y = [Y₁, Y₂]:
7Y₁² - 8Y₁Y₂ + 8Y₂²

Answer 1

To find the matrix A for the quadratic form in Y = [Y₁, Y₂]: 7Y₁² - 8Y₁Y₂ + 8Y₂², the matrix A is A = [[7, -4], [-4, 8]].

Step-by-step explanation:

To find the matrix A for the quadratic form in Y = [Y₁, Y₂]: 7Y₁² - 8Y₁Y₂ + 8Y₂², we can start by setting up an equation using the variables Y₁ and Y₂:

Y = [Y₁, Y₂]

The matrix A can be determined by the coefficients of the terms in the quadratic form. In this case, the matrix A would be:

A = [[7, -4], [-4, 8]]

So, the matrix A for the given quadratic form is A = [[7, -4], [-4, 8]].