Mathematics, 15.10.2019 20:00 renee9913
Poolelinalg4 3.2.036.(a)give an example to show that if a and b are symmetricn ✕ nmatrices, then ab need not be symmetric. a =0 22 0, b =0 11 0; but ab =2 00 2which is not symmetrica =1 11 0, b =0 11 0; but ab =1 10 1which is not symmetrica =1 21 0, b =0 11 0; but ab =2 10 1which is not symmetrica =1 01 0, b =0 11 0; but ab =0 10 1which is not symmetrica =1 21 0, b =0 12 0; but ab =4 10 1which is not symmetric(b)prove that if a and b are symmetricn ✕ nmatrices, then ab is symmetric if and only ifab = ba. suppose a and b are symmetric. then (ab)t = btat = ba. thus, ab is symmetric if and only if ab = (ab)t = ba. suppose a and b are symmetric. then (ab)t = atbt = −ab. thus, ab is symmetric if and only if −ba = (ab)t = ab. suppose a and b are symmetric. then (ab)t = ab and (ba)t = ba. thus, ab is symmetric if and only if ab = (ab)t = (ba)t = ba. suppose a and b are symmetric. then (ab)t = btat = −ba. thus, ab is symmetric if and only if −ab = (ab)t = ba. suppose a and b are symmetric. then (ab)t = atbt = ab. thus, ab is symmetric if and only if ba = (ab)t = ab. need ? read it talk to a tutor
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The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?
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Poolelinalg4 3.2.036.(a)give an example to show that if a and b are symmetricn ✕ nmatrices, then ab...
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