Maths · Matrices, algebra of matrices, type of matrices
For any square matrix is
For any square matrix \( \boldsymbol{A}, \boldsymbol{A}+\boldsymbol{A}^{T} \) is
- A. unit matrix
- B. symmetric matrix
- C. skew symmetric matrix
- D. zero matrix
Step-by-step solution
For any square matrix A, (A + A^T)^T = A^T + (A^T)^T = A^T + A = A + A^T, so A + A^T is symmetric. It is not necessarily unit, zero, or skew symmetric.
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