consider the following bilinear form p defined on IR as follows : p(x, y) = X1X2 +3x1Y2 +3x2Y1 + yıY2 %3D where x = C) and y = 1) Give the matrix A of o in the canonical basis of IR?. 2) Is the form o...


consider the following bilinear form p defined on IR as follows :<br>p(x, y) = X1X2 +3x1Y2 +3x2Y1 + yıY2<br>%3D<br>where x =<br>C) and y =<br>1) Give the matrix A of o in the canonical basis of IR?.<br>2) Is the form o symmetric? degenerate?<br>3) Find the associated quadratic form to p.<br>4) Find the istotropic cone associated to o.<br>5) Is () 1 () with respect to p?<br>6) Find ()<br>

Extracted text: consider the following bilinear form p defined on IR as follows : p(x, y) = X1X2 +3x1Y2 +3x2Y1 + yıY2 %3D where x = C) and y = 1) Give the matrix A of o in the canonical basis of IR?. 2) Is the form o symmetric? degenerate? 3) Find the associated quadratic form to p. 4) Find the istotropic cone associated to o. 5) Is () 1 () with respect to p? 6) Find ()

Jun 04, 2022
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