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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: 3a − 2b + 3c - 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: 3A − 2B + 3C

Sum

Solution

`3A-2B+3C`

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

⇒ 3A−2B+3C=`[[6   12],[9    6]]-[[2    6],[-4    10]]+[[-6     15],[9     12]]`

⇒ 3A−2B+3C=`[[6-2-6        12-6+15],[9+4+9          6-10+12]]`

⇒ 3A−2B+3C=`[[-2         21],[22         8]]`

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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 2.4 | Page 18

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