Symmetric Matrix & Skew Symmetric Matrix (Definition & Properties)
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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.
Feb 20, 2016
Symmetric Matrix Properties
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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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