1001 Algebra Problems.PDF

(Marvins-Underground-K-12) #1

  • MATRIX ALGEBRA–


Set 54(Answers begin on page 254)


The multiplication of matrices and matrix computations involving multiple operations are the focus of this
problem set.


For questions 849–864, use the following matrices:








––






F


G


H


I


0


0


2


1


1


1


2


1


0


1


2


1 0 1 3 1 0 2


1


2


0


1


1 1 2 0 2 2 1


=


=


=


=


R


T


S


S


SS


R


T


S S S S S R T


S


S


SS


>


V


X


W


W


WW


V


X


W W W W W V X


W


W


WW


H


E= 9 –– 420 C


1


0


1


2


2


1


1


3


2


5


1


0


0


1


1


4


3


0


1


2


1


1


1


2


0


A


D


B


C



––


––



––


=


=


=


=


R


T


S


S


SS


R


T


S


S


SS


>


>


V


X


W


W


WW


V


X


W


W


WW


H


H


849.Express as a single matrix, if possible:CF


a.

b.

c.

d.not possible

850.Express as a single matrix, if possible: (2G)(–3E)

a.

b.

c.

d.not possible

9 –– 111 C


1


0


0


> 1 H


1


0


1


1


1


0


0


0


1



R


T


S


S


S


S


V


X


W W W W 0 0


0


> 0 H


0


> 0 H


900 C

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