4. a. Sketch the direction field for the linear system ( 2 0 1 Y ‘ = 1 Y . 0 – 1 ) b. Do you see…

4.          a.    Sketch the direction field for the linear system

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4. a. Sketch the direction field for the linear system ( 2 0 1 Y ‘ = 1 Y . 0 – 1 ) b. Do you see…
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( 2     0 1

Y ' = 1            Y .

  0    -1)

 

b.    Do you see any straight line solutions for this system?

 

5.          What are the eigenvalues of the matrix

 

( 2    1 1

1    2

 

1          ?

          )