For items (a)-(m), decide if the given statement is true or false , and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false. The general form of a 4 × 4 symmetric matrix is [ a b c d b a e f c e a g d f g a ] .
For items (a)-(m), decide if the given statement is true or false , and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false. The general form of a 4 × 4 symmetric matrix is [ a b c d b a e f c e a g d f g a ] .
Solution Summary: The author explains that a square matrix A is said to be symmetric if it satisfies the above condition, but the diagonal entries are not all same.
For items (a)-(m), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.
The general form of a
4
×
4
symmetric matrix is
[
a
b
c
d
b
a
e
f
c
e
a
g
d
f
g
a
]
.
Definition Definition Matrix whose transpose is equal to itself. For a symmetric matrix A, A=AT.
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