Chapter 6: Q 6.3-2E (page 305)
Question:Find the area of the triangle defined by
and 

Short Answer
Therefore, the Area of triangle is 25.
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Chapter 6: Q 6.3-2E (page 305)
Question:Find the area of the triangle defined by
and 

Therefore, the Area of triangle is 25.
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The determinant of all orthogonal matrices is 1 .
Question:We say that a linear transformation Tfrom to preserves orientation if it transforms any positively oriented basis into another positively oriented basis. See Exercise 19. Explain why a linear transformationpreserves orientation if (and only if) detAis positive.
Find the determinants of the linear transformations in Exercises 17 through 28.
21.
In Exercises 62 through 64, consider a function from to that is linear in both columns and alternating on the columns. See Examples 4 and 6 and the subsequent discussions. Assume that .
64. Using Exercises 62 and 63 as a guide, show that for all matrices A .
Demonstrate Theorem 6.3.6 for linearly dependent vector.
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