Solutions to Homework Assignment 1_2

17 the second equation in the system is x2 8 h so the

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Unformatted text preview: cond equation in the system is: x2 = 8 + h. So the system will consistent for all values of h. 19. a. No Solution: You will have an inconsistent system when a row in the matrix looks like this: [ 0 0 b ] where b is a nonzero number (see Theorem 2). This will happen when h = 2 and k 8. b. Unique Solution: Using Theorem 2, we see that the system will have a unique solution if there are no free variables. So every variable in the system must correspond to a pivot column. So, columns 1 and 2 need to be pivot columns. For column 2 t...
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