Properties Flashcards

0
Q

A + (B + C) =

A

(A + B) + C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
1
Q

A + B =

A

B + A

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

A + 0 =

A

A

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

A + (-A) =

A

0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

r (A + B) =

A

rA + rB

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

(r + s)A =

A

rA + sA

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

r (sA) =

A

(rs) A

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

1A =

A

A

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

AB can not equal

A

BA, unless A and B commute

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

(A + B)(A + B) =

A

A^2 + AB + BA + B^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

(AB)C =

A

A(BC)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

A(rB) = =

A

(rA)B = r(AB)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

A(B + C) =

A

AB + AC

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

(A + B)^T =

A

A^T + B^T

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

(rA)^T =

A

r(A^T)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

(AB)^T =

A

B^T • A^T

16
Q

(A^T)^T

A

A

17
Q

When A is symmetrical,

A^T =

A

A

18
Q

(A^-1)^-1 =

A

A

19
Q

(AB)^-1 =

A

B^-1 • A^-1

20
Q

(A^T)^-1 =

A

(A^-1)^T