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Please Answer NUUMBER 6, using the information from 5 5) Find the symmetric matrices associated with the following quadratic forms and compute their respective determinants.

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Please Answer NUUMBER 6, using the information from 5

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5) Find the symmetric matrices associated with the following quadratic forms and compute their respective determinants. a) Q(21, 262) = 2122+ 327 - 712 b) Q (x, y, z) = -202 + 2xy- 222 -242 c) Q(x, y, w) = 15x2 + y2 - 2xy + 5w2 6) Using the determinantal test (on leading principal minors), determine for each of the following quadratic forms in Question 5 above whether it is positive definite, negative definite, indefinite, or whether the test is inconclusive

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