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Find the adjoint of the following: [231341372] - Mathematics

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प्रश्न

Find the adjoint of the following:

`[(2, 3, 1),(3, 4, 1),(3, 7, 2)]`

योग

उत्तर

A = `[(2, 3, 1),(3, 4, 1),(3, 7, 2)]`

adj A = `[(+|(4, 1),(7, 2)|, -|(3, 1),(3, 2)| + |(3, 4),(3, 7)|),(-|(3, 1),(7, 2)|, +|(2, 1),(3, 2)| - |(2, 3),(3, 7)|),(+|(3, 1),(4, 1)|, -|(2, 1),(3, 1)| + |(2, 3),(3, 4)|)]^"T"`

= `[(+(8 - 7), -(6 - 3), +(21 - 12)),(-(6 - 7), + (4 - 3), -(14 - 9)),(+(3 - 4), -(2 - 3), +(8 - 9))]^"T"`

= `[(1, -3, 9),(1, 1, -5),(-1, 1, -1)]^"T"`

adj A = `[(1, 1, -1),(-3, 1, 1),(9, -5, -1)]`

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Inverse of a Non-singular Square Matrix
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Applications of Matrices and Determinants - Exercise 1.1 [पृष्ठ १५]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 1 Applications of Matrices and Determinants
Exercise 1.1 | Q 1. (ii) | पृष्ठ १५

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