Monthly Archives: May 2010

Linear Algebra and Its Applications, exercise 1.2.4

Exercise 1.2.4. For the following three equations: sketch the lines associated with the equation and determine whether the equations have a simultaneous solution. What about if the right-hand sides of all three equations were zero? Are there other right-hand sides … Continue reading

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Linear Algebra and Its Applications, exercise 1.2.3

Exercise 1.2.3. For the following three equations (in 4-space): what is the intersection of the three planes described by the equations? If we add a fourth equation u = -1, describe the intersection of the plane associated with this equation … Continue reading

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Linear Algebra and Its Applications, exercise 1.2.2

Exercise 1.2.2. Given the system of equations solve for u, v, and w, and then use the solution to find a linear combination of column vectors that equals the vector . Answer: First, subtract the third equation from the other … Continue reading

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