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Suppose M is the augmented coefficient matrix for a system of equations augmented by the constants of the equations. We'll say that an operation is allowable if we can apply it to M and produce the augmented coefficient matrix for a system of equations with the same solution as the original system of equations:these correspond to the steps you use to solve a system of equations. For each of the following identify the corresponding operation on a system of equations:then state whether the operation is allowable or forbidden. Assume c notequalto 0. Multiplying every term of a row by c. Switching two columns. Switching two rows. Adding c to each term in a row. Multiplying every term in a row by c, then adding the corresponding terms to another row. Suppose that, after you've applied a sequence of allowable row operations to M, you end up with a row consisting of all zeroes except the last entry, which is a non-zero number. What does this say about the original system of equations? Show transcribed image text
Suppose M is the augmented coefficient matrix for a system of equations augmented by the constants of the equations. We'll say that an operation is allowable if we can apply it to M and produce the augmented coefficient matrix for a system of equations with the same solution as the original system of equations:these correspond to the steps you use to solve a system of equations. For each of the following identify the corresponding operation on a system of equations:then state whether the operation is allowable or forbidden. Assume c notequalto 0. Multiplying every term of a row by c. Switching two columns. Switching two rows. Adding c to each term in a row. Multiplying every term in a row by c, then adding the corresponding terms to another row. Suppose that, after you've applied a sequence of allowable row operations to M, you end up with a row consisting of all zeroes except the last entry, which is a non-zero number. What does this say about the original system of equations?
Show transcribed image text Collen VonLv2
23 Jun 2019