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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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Question

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)]`

Sum
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Solution

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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Chapter 4: Determinants and Matrices - Exercise 4.4 [Page 83]

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