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Let a = `[[2,4],[3,2]]`, `B=[[1,3],[-2,5]]`And `C =[[-2,5],[3,4]]`.Find Each of the Following: 2a − 3b - Mathematics

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Question

Let A = `[[2,4],[3,2]]`, `B=[[1,3],[-2,5]]`and `c =[[-2,5],[3,4]]`.Find each of the following: 2A − 3B

Sum

Solution

 2A−3B

⇒ 2A - 3B =` 2[[2         4],[3          2 ]]`-3`[[1      3],[-2    5]]`

⇒ 2A−3B=`[[4     8],[6    4]]-[[1      3],[-2     5]]`

⇒ 2A−3B= `[[4     8],[6      4]]-[[3     9],[-6     15]]`

⇒ 2A−3B=`[[4   -3       8-9],[6+6        4-15]]`

⇒ 2A−3B=`[[1     -1],[12        -11]]`

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Chapter 5: Algebra of Matrices - Exercise 5.2 [Page 18]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.2 | Q 2.1 | Page 18

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