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Unformatted text preview: = a b b-a . For which values of a and b is A-1 = A . 3b) Whats the area of the parallelogram spanned by 3-1 and 2 4 ? 4a) Give an example of a 2 2 matrix whose image is spanned by 1-5 . 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 1-1 4 . 2...
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- Spring '08