CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 8. Systems and Matrices


7.




−1 3 − 4


4 2 1


1 2 5




8.




4 5 8


9 0 1


0 3 − 2




9.




0 7 − 1


2 − 3 1


6 8 0




10.




4 2 − 3


2 4 5


1 8 0




11.




− 2 − 6 − 12


− 1 − 5 − 2


2 3 4




12.




−2 6 3


2 4 0


−8 2 1




13.







2 6 4 6


0 1 0 1


2 4 2 0


−6 2 3 1







14.







5 0 0 1


2 1 8 3


9 3 2 6


−4 2 5 1








  1. Can you find the determinant for any matrix? Explain.

  2. The following matrix has a determinant of zero:


[6 4


3 2


]


. If the determinant of a matrix is zero, what does that
say about the rows of the matrix?

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