Find the symmetric matrix A associated with the given quadratic form 2x2-3y2+z2 - 4xz A=

Question

Question

math algebra

Answer 1

Answer #1

The symmetric matrix A for the general quadratic form given by

ax² + by² + cz² + 2dyz + 2ezx + 2fxy

is A = $edc fb d afe$

In this case, the quadratic form is

2x² - 3y² + z² - 4xz

Comparing it with the general quadratic form, we get

a= 2

b = -3

c = 1

2d = 0 => d = 0

2e = -4 => e = -2

2f = 0 => f = 0

So, the symmetric matrix associated is

A = $0 2 20 -2 0 -3 0 0 1$

Answer 2

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