00:01
High from the question given that the quadratic form is equal to x squared plus 2y squared minus z squared minus 2xy plus 6x z in r3.
00:23
So here we need to find matrix a of this quadratic form.
00:34
In general, we know that a, x, squared, plus b, y, square, plus c, z squared, plus 2hx, x, y, z, plus 2f, y, z, then the matrix a will be have g, f, c.
01:19
This is x, y, z and x, y and z.
01:26
Now comparing this general form with the given expression.
01:29
So we obtained the value of a is equal to 1 and b is equal to 2 and c is equal to minus 1 and minus 2 is equal to 2 h...