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  3. 6 let a x left begin array cc 2 1 2 x 1 2 end...

6 Let A x left begin array cc 2 1 2 x 1 2 end...

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Calculus

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6 Let A x left begin array cc 2 1 2 x 1 2 end array right in M 2 mathbb R quad x in mathbb R Consider the open ball B 1 A 1 C in M 2 mathbb R mid C A 1 1 Here for B M 2 R we use the Euclidean norm B left b 11 2 b 12 2 b 21 2 b 22 2 right 1 2 i Prove that if A x B A 1 then A x GL 2 R ii Find Is 4 1 4 3 A 2 A 3 2 E GL 2 R

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