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If A' = and[-2312]andB=[-1012] then find (A + 2B)' - Mathematics

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Question

if A' = `[(-2,3),(1,2)] and B = [(-1,0),(1,2)]`  then find (A + 2B)'

Sum

Solution

Given, A' = `[(-2,3),(1,2)]` and` "B" = [(-1,0),(1,2)]`

so, A = `[(-2,1),(3,2)]`     [Because(A)' = A]

Now, (A + 2B) = `[(-2,1),(3,2)] + 2 [(-1,0),(1,2)]`

`= [(-2,1),(3,2)] + [(-2,0),(2,4)]`

`= [(-2 - 2, 1 + 0),(3 + 2, 2 + 4)]`

`= [(-4, 1),(5,6)]`

(A + 2B)' = `[(-4 , 5), (1,6)]`

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Chapter 3: Matrices - Exercise 3.3 [Page 88]

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NCERT Mathematics [English] Class 12
Chapter 3 Matrices
Exercise 3.3 | Q 4 | Page 88

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