Let A be an n x n matrix and X be an n x 1 matrix. Is (X^t)AX symmetric? Ans is Yes.
Explain. Thx.
Pure maths matrix
2007-11-12 3:22 am
回答 (1)
2007-11-12 4:03 am
✔ 最佳答案
A is an nxn matrix.X is a nx1 matrix, i.e. X^t is a 1xn matrix.
Therefore X^t AX is a 1x1 matrix.
For a 1x1 matrix, its transpose must be the same.
Hence X^t AX is symmetric
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