Matrices rules
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17 Terms
1
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(a-1)-1
a
2
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(ab)-1
b-1a-1
3
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(at)-1
(a-1)t
4
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(ka)-1
k-1a-1
5
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(abc)-1
c-1b-1a-1
6
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if a is symmetric, what is a-1
also symmetric
7
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(at)t
a
8
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(a+b)t
at + bt
9
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(ka)t
k(at)
10
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(ab)t
btat
11
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when is a matrix symmetric
a=at
12
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at*a
I
13
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if at*a =I, what follows
a*at = I, so a-1=at
14
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what must happen for a-1=at
at*a= I and a*at=I
15
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rank AQ = rank A = rank PA. what are p and q
invertible square matrices
16
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rank PAQ =
rank A
17
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rank A = (transposes)
rank (A)t