If A = [73004-2], B = [0-2321-4] then find 5AT – 5BT - Mathematics and Statistics

Question

If A = `[(7, 3, 0),(0, 4, -2)]`, B = `[(0, -2, 3),(2, 1, -4)]` then find 5A^T – 5B^T

Sum

Solution

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

∴ A^T = `[(7, 0),(3, 4),(0, -2)]` and B^T= `[(0, 2),(-2, 1),(3, -4)]`

5A^T – 5B^T = 5(A^T – B^T)

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

= `5[(7 - 0, 0 - 2),(3 + 2, 4 - 1),(0 - 3, -2 + 4)]`

= `5[(7, -2),(5, 3),(-3, 2)]`

= `[(35, -10),(25, 15),(-15, 10)]`

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Q 8. (ii)Q 8. (i)Q 9

Chapter 4: Determinants and Matrices - Exercise 4.7 [Page 98]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board

Chapter 4 Determinants and Matrices
Exercise 4.7 | Q 8. (ii) | Page 98

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