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Matlab question: I need help with the explanations please! 3.2.2 Inverse of Diagonal Matrices type C- 0 00 3; 00 20; 0 5 00;400 0]
Matlab question: I need help with the explanations please!
3.2.2 Inverse of Diagonal Matrices type C- 0 00 3; 00 20; 0 5 00;400 0] type inv(C) type format rat ype nv(C) type D [003; 080;500 type nv(D) To see the inverse of C. to see the numbers in fraction format. To see the inverse of C. to see inverse of ID Without typing it in the MATLAB guess what the inverse of E-[0 0 1; 0 3 0; 7 0 0] should be? Explain by typing % before your answer. Enter your answer as El- 3.2.3 Inverse of Block Matrices type J- E*EI If you did not get an Identity matrix, try it again, until you get it right. type F- 13 2 00:4300;00 6 5 0076. type FInv(F) to find inverse of F Any thing interesting? Explain by typing % before your answer. type Fl-inv 3 2; 4 3]) type Fl-inv 6 5; 7 6]) Explain the relation of the last two inverses with the inverse of matrix F, by typing % before your answer. 3.2.4 An Interesting Observation type E1-5'eye(4) - ones(4,4) type E11-inv(E1) to see the inverse of El type E2 6 eye(5) - ones(5,3) type E2I- inv(E2) to see the inverse of El type E33eye(2) ones(2,2) Generalize your observation. Representing a nxn identity matrix by In and a nx n matrix of ones by On write an inverse for ( 1) On, it will be in the form of k(In +On). Enter your response by typing % before your answer. Your answer has to be in the form of INV((n+1)I -On)-k(InOn). where the k is replaced by the value you choose
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