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EDU.COMBlogGuidePodcastPlanMathBack to QuestionsIn Exercises 31–36, respond as comprehensively as possible, and justify your answer. If is a matrix and Nul is not the zero subspace, what can you say about ColLet be an invertible symmetric matrix. Show that if the quadratic form is positive definite, then so is the quadratic formSimplify the following expressions.Plot and label the points , , , , , , and in the Cartesian Coordinate Plane given below.Solve each equation for the variable.Find the area under from to using the limit of a sum.Write a quadratic equation in the form ax^2+bx+c=0 with roots of -4 and 5Find the points of intersection of the two circles and .Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.Rewrite this equation in the form y = ax + b. y - 3 = 1/2x + 1The cost of a pen is cents and the cost of a ruler is cents. pens and rulers have a total cost of cents. pens and ruler have a total cost of cents. 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