Determine the symmetric matrix A in each quadratic form and show if A is positive definite, positive semi definite or neither positive definite nor positive semi definite using principal submatrices approach. - b. x Ax=2x² +8x² +5x² +8x₁x₂ −2X₁ X3-4X2X3

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A: Given the singular value decomposition of A: A=UΣVT=121212-1250003012120118-11841823-23-13To…

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A: Solution is given below:

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A: This is a basic Pythagoras theorem problem

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A: Please refer to the image below

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A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

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A: answer is in next step.

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