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Answer the following question: If f(α) = A = [cosα-sinα0sinαcosα0001], Find f(– α) - Mathematics and Statistics

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प्रश्न

Answer the following question:

If f(α) = A = `[(cosalpha, -sinalpha, 0),(sinalpha, cosalpha, 0),(0, 0, 1)]`, Find f(– α)

योग

उत्तर

f(α) = A = `[(cosalpha, -sinalpha, 0),(sinalpha, cosalpha, 0),(0, 0, 1)]`

∴ f(– α) = `[(cos(-alpha), -sin(-alpha), 0),(sin(-alpha), cos(-alpha), 0),(0, 0, 1)]`

∴ f(– α) = `[(cosalpha, sinalpha, 0),(-sinalpha, cosalpha, 0),(0, 0, 1)]`

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Matrices - Properties of Matrix Multiplication
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Determinants and Matrices - Miscellaneous Exercise 4(B) [पृष्ठ १०१]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 4 Determinants and Matrices
Miscellaneous Exercise 4(B) | Q II. (2) (i) | पृष्ठ १०१

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