Prove part (a) of Theorem 4.11.3. [Hint: A line in the plane has an equation of the form

Chapter 4, Problem 20

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Prove part (a) of Theorem 4.11.3. [Hint: A line in the plane has an equation of the form , where A and B are not both zero. Use the method of Example 6 to show that the image of this line under multiplication by the invertible matrix has the equation , where and Then show that and are not both zero to conclude that the image is a line.]

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