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(Solved): Question 2 [30 pts]: Consider the matrices A=[[0,x],[x,y]], B=[[z,y],[z,-7]], and C=[[7,-1],[-1,0]], ...



Question 2 [30 pts]: Consider the matrices

A=[[0,x],[x,y]]

,

B=[[z,y],[z,-7]]

, and

C=[[7,-1],[-1,0]]

, where

x,y

, and

z

are real numbers. (a) [15 pts] Find, if possible, the values of

x,y

, and

z

such that:

A B^(T)=C

. (b) [15 pts] Find, if possible, the values of

x

and

y

such that:

AC=I_(2)

, where

I_(2)=[[1,0],[0,1]]

.



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