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Unformatted text preview: A be a 5 5matrix. For (a), (b), and (c) below say whether it is true or false. You need not give any reasons. (a) If A is invertible, then im ( A ) = R 5 . (b) If A is invertible, then ker ( A ) = { ~ } . (c) If ker ( A ) = { ~ } , then im ( A ) is not R 5 . 6. (18) (a) Is the unit sphere U = x y z : x 2 + y 2 + z 2 = 1 a subspace of R 3 ? Explain. (b) Is W = x y : xy a subspace of R 2 ? Explain. 7. (20) Fill the missing entries (the ? s) of the matrix A and its inverse A1 A = 1 1 * * 2 3 * 3 * A1 = * * 13 5 * 12 * . 2...
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 Fall '05
 PANTANO
 Linear Algebra, Algebra, Equations

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