Question: LINEAR ALGEBRA + hx = 2 1. (5 points) Consider the system of equations [4: + 8x: = k' Find all values of h and

LINEAR ALGEBRA

+ hx = 2 1. (5 points) Consider the system of equations [4: + 8x: = k' Find all values of h and k such that the system is inconsistent. 0.12.1.5] 2.UpojnIs3Fiudallvaluesofmb,c,d,andesuchthatthematrixl0 0 0 C d isinRREF.Exp-la.in 0 e U 0 why the variables have those 1rallies. (Hint: There are two possible cases for REEF.) 3. (5 points) Suppose an m X Ti. matrix A has n leading 1's {or pivot columns). Explain why for each 3 in HE\" the equation ABE = E has at most one solution. (Hint: Explain why A? = ii cannot have infinitely many solutions.)

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