Question

7 To be completed by graduate students enrolled in course (a) Let A and B be linear operators mapping R and sufficient condition for AB - BA. to RN (hence, they're square matrices). Give the necessary (b) Are al finite energy sequences also absolutely summable? If not, give a counter-example. Recall that an absolutely summable sequence, rnl) e , satisfies n]oo And, a finite energy sequence, {x[n]} ε 4, satisfies

Answer 1

-Both sthi Matbicus having am nb. Rows Cloums Loth mathices ae having initial conditons to he ero e cannot o sum enegy 01 odibuett