Current location - Loan Platform Complete Network - Bank loan - Let X be a matrix of n× 1 and XXT= 1(XT is the transposition of X), and prove that S=I-2XXT is a symmetric matrix.
Let X be a matrix of n× 1 and XXT= 1(XT is the transposition of X), and prove that S=I-2XXT is a symmetric matrix.
To prove that a matrix is symmetric, it is only necessary to prove that the transposed matrix of this matrix is equal to this matrix.

However, there seems to be something wrong with this problem. From XXT= 1, there is S=I-2XXT=I-2, that is, s is actually a first-order square matrix, that is, the number-1.

The topic may be S=I-2XTX. Of course, the problem-solving process is still the same.