Please use matlab and show the commands used Question 1Do (a), (b) and (c) for the quadratic forms in 1.1 and 1.2:=(a) Make a change-of-variable substitution xform to one with no cross-product terms.Py that transforms the quadratic(b) Write down the new quadratic form.(c) Classify the quadratic form as positive definite, negative definite or indefi-nite.1.1 Q₁(x) = 4x² + 4x² + 4x² + 4x² +8X1X2 +8X3x4 - 6x₁x4 + 6x₂x3.1.2 Q2₂(x) = 2x² + 2x2 - 6x1x2 - 6x1x3 - 6x1x4 - 6x2x3 - 6x2x4 - 21314-

1.1 First of all we need to make a change of variable substitution x=Py that transforms the…

Question 1 Do (a), (b) and (c) for the quadratic forms in 1.1 and 1.2: (a) Make a change-of-variable substitution x = Py that transforms the quadratic form to one with no cross-product terms. (b) Write down the new quadratic form. (c) Classify the quadratic form as positive definite, negative definite or indefi- nite. 1.1 Q₁(x) = 4x² + 4x² + 4x3 + 4x² +8x1X2 +8X3X4 − 6X1X4 + 6X2X3. 1.2 Q₂(x) = 2x² + 2x² - 6x1x2 - 6x13 - 6x1x4 – 6x2x3 - 6x2*4 - 2x3x4-

Question 1 Do (a), (b) and (c) for the quadratic forms in 1.1 and 1.2: (a) Make a change-of-variable substitution x = Py that transforms the quadratic form to one with no cross-product terms. (b) Write down the new quadratic form. (c) Classify the quadratic form as positive definite, negative definite or indefi- nite. 1.1 Q₁(x) = 4x² + 4x² + 4x3 + 4x² +8x1X2 +8X3X4 − 6X1X4 + 6X2X3. 1.2 Q₂(x) = 2x² + 2x² - 6x1x2 - 6x13 - 6x1x4 – 6x2x3 - 6x2*4 - 2x3x4-

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.3: Quadratic Equations

Problem 82E

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