For any square non zero matrix A , A+A^T must be a) Unit Matrixb) Sym

1.	For any square non zero matrix A , A+A^T must be a) Unit Matrixb) Symmetric Matrix c) Skew Symmetric Matrix d) Zero Matrix
Answer» (A+A^T)^T= A^T+ (A^T)^T= A^T+ A = A + A^T ∴ A +A^Tis a symmetric matrix

For any square non zero matrix A , A+A^T must be a) Unit Matrixb) Symmetric Matrix c) Skew Symmetric Matrix d) Zero Matrix

Answer»

(A+A^T)^T= A^T+ (A^T)^T= A^T+ A = A + A^T

∴ A +A^Tis a symmetric matrix

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For any square non zero matrix A , A+A^T must be a) Unit Matrixb) Symmetric Matrix c) Skew Symmetric Matrix d) Zero Matrix

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