In 14—18, assume the entries of all matrices are real numbers.
18. Use mathematical induction to prove that if A is an symmetric matrix, then for any integer is also symmetric.
To prove: If A Is an matrix symmetric matrix, then for any integer . An Is also symmetric.
Given information: A Is an matrix symmetric matrix. Assume the entries of all matrices are real numbers.
Given: A Is an
Basis step n = 1
We need to prove that P ( k + 1 ) is true.
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