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True or false
1. Every linear system of four equations in five unknowns has infinitely many solutions.
2. If two systems of linear equations have augmented matrices that row reduce to the same reduced row echelon form, then they have the same solution set.
3. If a system of m linear equations in four unknowns has a unique solution, then m must be greater than or equal to four.
4. If a system of m linear equations in four unknowns has no solutions, then m must be greater than or equal to four.
5. A system of three linear equations in three unknowns has a unique solution if and only if its coefficient matrix is row equivalent to the 3x3 identity matrix.
Provide a numerical answer to each of the following questions and also show the calculations you used to find the answers. How many different ways can 30 runners place in an Olympic qualifying marathon?
Find the dimension of the solution space of the following homogenous system of linear equations
Transformations & asymptotes of functions.
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The goal is to better understand how different linear systems are related to each other, or in other words, what bifurcations occur in parameterized families of linear systems.
Solving the problem of maximum height.
suppose procter amp gamble sells about 20 million bars of soap per week but the demand is not constant and production
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Simplify each expression using the rules of exponents and examine the steps you are taking
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Use an excel spreadsheet with the data provided. Prepare a graph of activity vs. seconds. Use a trend line to produce the best exponential line through the points.
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