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Linear Algebra, please show work, and explanation, thank you!
Solution
If b1 belongs to R(T) then T(b1) should be in R(T)
T(b1) = Ab1 =
8
3
5
Find T(b2)=
12
-1
13
T(b1)+T(b2) =
20
2
18
T(b1+b2) = T(7, 5, 1)=
20
2
18
= T(R1)+T(R2)

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Linear Algebra, please show work, and explanation, thank you!Sol.pdf

  • 1. Linear Algebra, please show work, and explanation, thank you! Solution If b1 belongs to R(T) then T(b1) should be in R(T) T(b1) = Ab1 = 8 3 5 Find T(b2)= 12 -1 13 T(b1)+T(b2) = 20 2 18 T(b1+b2) = T(7, 5, 1)= 20 2 18 = T(R1)+T(R2)