1001 Algebra Problems.PDF

(Marvins-Underground-K-12) #1

  1. d.It is known that if is such that det A= ad– bc≠0, then. Note that


the determinant ofA= is zero, so the matrix does not have an inverse.


  1. a.It is known that if is such that det A= ad– bc≠0, then. Applying


this formula with A= yields the following:


  1. a.It is known that if is such that det A= ad– bc≠0, then. Applying


this formula with A= yields the following:


  1. c.It is known that if is such that det A= ad– bc≠0, then. Applying


this formula with A= yields the following:


  1. b.It is known that if is such that det A= ad– bc≠0, then. Applying


this formula with A= yields the following:

A^163


12


0


2 2


0




– –


1 21
31

– ==>>HH


2


12


0


> – 3 H


A detA
d
c

b
a

1



A a –^1 = > – H
c

b
=> dH

A 51 2


1


1


3










1 52
51

51
53

– ==>>HH


3


1


1


2



> – H


A detA
d
c

b
a

1



A a –^1 = > – H
c

b
=> dH

A 251 25


0


4


1


1


0


1 254
251

– ==>>HH


1


0


4


25


> – H


A detA
d
c

b
a

1



A a –^1 = > – H
c

b
=> dH

A 221 2


4


4


– – 3


1 – –^111


112

112


  • ==>>HH 223


3


4


4


2


>– H


A detA
d
c

b
a

1



A a –^1 = > – H
c

b
=> dH

6


2


3


> 1 H


A detA
d
c

b
a

1



A a –^1 = > – H
c

b
=> dH

ANSWERS & EXPLANATIONS–
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