Express the following optimization problem as a standard linear program in matrix notation max zER?, £ER´ p'z +£ subject to the constraints that >0, ro <0 and r¡ < 3.

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For each quadratic function and constraint a) Write the matrix associated with the quadratic form. b) State the minimum value and maximum value of the function associated with the constraint. c) State all locations where the minimum value and maximum value occur. ; = 11x² + 6x₁x₂ + 3x², x² + x² = 1 1. z =

WHe-the sytems of equations as an augmented "matrix X-34-32= - -5X-3+57=-a (-bX-5y42=-le

Find an equation involving g,h, and k that makes this augmented matrix correspond to a consistent system