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consider the following bilinear form qp defined on IR as follows : p(x, y) x1x2 +3x1Y2 + 3x2Y1+ Y1Y2 where x = ) and y = G). %3D 1) Give the matrix A of o in the canonical basis of IR2. 2) Is the form o symmetric? degenerate? 3) Find the associated quadratic form to p. 4) Find the istotropic cone associated to qp. 5) Is ()1 () with respect to p? 6) Find () .

consider the following bilinear form qp defined on IR as follows : p(x, y) x1x2 +3x1Y2 + 3x2Y1+ Y1Y2 where x = ) and y = G). %3D 1) Give the matrix A of o in the canonical basis of IR2. 2) Is the form o symmetric? degenerate? 3) Find the associated quadratic form to p. 4) Find the istotropic cone associated to qp. 5) Is ()1 () with respect to p? 6) Find () .

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 ()
Transcribed Image 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 ()
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