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NE112-quiz3-sol

# NE112-quiz3-sol - NE112 Linear Algebra Quiz 2 Student Name...

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NE112 – Linear Algebra Quiz # 2 Student Name: Student Number: For questions 1 to 10, answer whether each statement is True (T) or False (F) 1. The vector - 6 2 is a linear combination of - 4 3 and 2 1 . 2. If 2 u - 3 v = 4 w - 2 v + 2 u , then w is a linear combination of u and u + v . 3. If a , b , and c are vectors with a orthogonal to b , then ( a.b ) c = a ( b.c ), for any c . 4. a. ( b + c ) = c.a + b.a , for all vectors a , b , and c in R n . Book page 196 (Properties of Dot Product) or lecture notes. 5. The angle θ between the vectors u = (-5, -1, 1) and v = (2, 4, -4) is approximately 125 o . 6. The minor m 21 in - - - - 2 1 2 1 2 3 1 0 3 2 0 1 0 5 1 3 is -2.

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7. If B is formed by adding a linear combination of two rows of A to a different row of A , then det( B ) = det( A ). 8.
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NE112-quiz3-sol - NE112 Linear Algebra Quiz 2 Student Name...

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