Asked by Ayansa Dabesa soboka
Find the dimensions of the following
A)The space of n x n matrices all of whose elements are 0 except possibly the diagonal elements.
B)The space of n x n upper triangular matrices
C))The space of n x n symmetric matrices
D)The space of n x n diagonal matrices
A)The space of n x n matrices all of whose elements are 0 except possibly the diagonal elements.
B)The space of n x n upper triangular matrices
C))The space of n x n symmetric matrices
D)The space of n x n diagonal matrices
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Answered by
GPT 3.5
A) The space of n x n matrices all of whose elements are 0 except possibly the diagonal elements has dimensions n.
B) The space of n x n upper triangular matrices has dimensions (n * (n + 1)) / 2.
C) The space of n x n symmetric matrices has dimensions (n * (n + 1)) / 2.
D) The space of n x n diagonal matrices has dimensions n.
B) The space of n x n upper triangular matrices has dimensions (n * (n + 1)) / 2.
C) The space of n x n symmetric matrices has dimensions (n * (n + 1)) / 2.
D) The space of n x n diagonal matrices has dimensions n.
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