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Please use matrix method

0 0 1 2. Let A = 0 TO 0 0 1 [ 1 1 2 21 jo 1 0 0 1. BT = 2 2 3 3 0 0 1 1 (1 000 (1) Calculate BT AB. (20 points) (2) Calculate

Answer: 8 14 21 14 24 4 2 40 henk is 2 and nullity is 1.

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Answer #1

# solution. Given that the matrise r. 1227 Too 1 o. B-12 2 3 311 Loo 1 1 tooo L 11 оор L1 o daxq then (BT) = B = I 2 1 2 3 Oand BTA)B=5 1 3 1 2 2 17 11 2 07 3 2 2 1 1 2 a 1 1 0 0 3 2 xel 2 3 1 days wwnn 2+2 +2+2 e +4+3+3 0 tot 1+1 BTAB = 3+3+9+e 6+6P- 7 1 8 2 10 2 & o ( R3 R3-R2 Rank (L) = Rank (BT AB) = 2 By using the Rank - Nullity theorem is Rank (el+ Nullity (R)= orde

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