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Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix: [001010100]

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प्रश्न

Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix:

`[(0, 0, 1),(0, 1, 0),(1, 0, 0)]`

योग
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उत्तर

Let A = `[(0, 0, 1),(0, 1, 0),(1, 0, 0)]`

∴ AT  = `[(0, 0, 1),(0, 1, 0),(1, 0, 0)]`

∴ AT = A, i.e., A = AT

∴ A is a symmetric matrix.

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अध्याय 4: Determinants and Matrices - Exercise 4.4 [पृष्ठ ८३]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 4 Determinants and Matrices
Exercise 4.4 | Q 2. (x) | पृष्ठ ८३

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