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Unformatted text preview: and { v j } m j =1 of U and V so that in these bases A is represented by the block diagonal matrix A = I 0 0 . (a) What are the dimensions of the dierent blocks? (b) Choose / construct the bases (and verify they are bases). (c) Show A has the right matrix representation. EE 221 : Linear Systems Recitation #3 Sam Burden Sep 10, 2010 2 Ax = B Exercise Let A C m n , B C n q , C C m n , and D C n q . (a) When is the matrix equation AX = C solvable for X C n n ? When is it unique? (b) When is the matrix equation XB = D solvable for X C n n ? When is it unique? (c) Under what conditions does TA = TC imply that A = C ?...
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 Fall '10
 ClaireTomlin

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