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Unformatted text preview: = ± a b ba ² . For which values of a and b is A1 = A . 3b) What’s the area of the parallelogram spanned by ± 31 ² and ± 2 4 ² ? 4a) Give an example of a 2 × 2 matrix whose image is spanned by ± 15 ² . 4b) Give an example of a linear transformation whose image is the plane spanned by 4 1 4 and 1 2 . 4c) Give an example of a linear transformation whose kernel is spanned by 1 1 . 5a) Suppose A is m × n . When is ker ( A ) = ~ 0? What if n > m ? 5b) Find vectors that span the kernel of A = ± 2 1 11 4 ² . 2...
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 Spring '08
 lee
 Linear Algebra, Vector Space, ax, linear transformation

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