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Tamil Nadu Board of Secondary EducationHSC Science Class 11

If AT = [45-1023] and B = [2-1175-2], veriy the following (BT)T = B - Mathematics

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Question

If AT = `[(4, 5),(-1, 0),(2, 3)]` and B = `[(2, -1, 1),(7, 5, -2)]`, veriy the following 

(BT)T = B

Sum

Solution

AT = `[(4, 5),(-1, 0),(2, 3)]` and B = `[(2, -1, 1),(7, 5, -2)]`

BT = `[(2, 7),(-1, 5),(1, -2)]`

(BT)= `[(2, 7),(-1, 5),(1, -2)]^"T"`

(BT)= `[(2, -1, 1),(7, 5, -2)]`

(BT)= B

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Chapter 7: Matrices and Determinants - Exercise 7.1 [Page 19]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 7 Matrices and Determinants
Exercise 7.1 | Q 15. (iii) | Page 19

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