Linear Algebra 4.6 - 4.7 & 3.1 - 3.2 Flashcards

(35 cards)

1
Q

1 Definition

A

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2
Q

2 definition of transpose and example

A

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3
Q

3 Check

A

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4
Q

4 Definition

A

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5
Q

5 theorem

A

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6
Q

6 Example

A

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7
Q

7 theorem

A

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8
Q

Invertible Matrix Theorem

A

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9
Q

8 theorem

A

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10
Q

9 definition

A

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11
Q

10 Properties of 2x2 determinants

A

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12
Q

11 general recipe

A

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13
Q

12 Definition IMPORTANT

A

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14
Q

13 theorem

A

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15
Q

14 example

A

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16
Q

15 theorem

A

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17
Q

16 example

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18
Q

17 theorem

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19
Q

18 corollary

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20
Q

19 example

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21
Q

20 theorem

A

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22
Q

21 example

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23
Q

22 Row operations and determinants

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24
Q

23 determinants of elementary matrices

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25
#24 determinants of elementary matrices
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26
#25 Corollary
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27
#26 theorem
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28
#27 volume interpretation of determinants
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29
#28 characterization of determinants
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#29 properties of determinants
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31
#30 Cramer's rule
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32
#31 Formula
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33
#32 theorem
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34
#33 main message from Cramer's rule
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35
example 4 in textbook on pg.270
Finding basis for eigen space