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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 = ³ I 0 0 ´ . (a) What are the dimensions of the diﬀerent 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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This note was uploaded on 04/11/2011 for the course EE 221A taught by Professor Clairetomlin during the Fall '10 term at Berkeley.
 Fall '10
 ClaireTomlin

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