Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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Find the matrix X if 2X + [1357]=[5795] - Mathematics

MCQ

Find the matrix X if 2X + `[(1, 3),(5, 7)] = [(5, 7),(9, 5)]`

Options

  • `[(-2, -2),(2, -1)]`

  • `[(2, 2),(2, -1)]`

  • `[(1, 2),(2, 2)]`

  • `[(2, 1),(2, 2)]`

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Solution

`[(2, 2),(2, -1)]`

Explanation;

2X + `[(1, 3),(5, 7)] = [(5, 7),(9, 5)]`

⇒ 2X = `[(5, 7),(9, 5)] - [(1, 3),(5, 7)]`

2X = `[(4, 4),(4, -2)]`

⇒ X = `1/2 [(4, 4),(4, -2)]`

⇒ X = `[(2, 2),(2, -1)]`

Concept: Matrices
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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 3 Algebra
Exercise 3.20 | Q 18 | Page 156
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