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Symmetric Matrix & Skew Symmetric Matrix (Definition & Properties)

Symmetric Matrix & Skew Symmetric Matrix (Definition & Properties)

Symmetric matrix and Skew Symmetric matrix both are square matrices but have different transpose properties. Learn with the help of examples and properties at BYJU’S.

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Symmetric Matrix Properties

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Symmetric and skew symmetric matrices

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Symmetric Matrix Examples

Give 3 by 3 examples (not just the zero matrix) of (a) a diagonal matrix: ai j=0 if i ≠j. (b) a symmetric matrix: ai j=aj i for all i and j. (c) an upper triangular matrix: ai j=0 if i>j. (d) a skew-symmetric matrix: ai j=-aj for all i and j. | Numerade

Give 3 by 3 examples (not just the zero matrix) of (a) a diagonal matrix: ai j=0 if i ≠j. (b) a symmetric matrix: ai j=aj i for all i and j. (c) an upper triangular matrix: ai j=0 if i>j. (d) a skew-symmetric matrix: ai j=-aj for all i and j. | Numerade

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