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International Studies Charter School

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Presentation on theme: "International Studies Charter School"β€” Presentation transcript:

1 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Pg. 815 # Odd and 33, 40, 42

2 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. 1 πŸπŸ‘. π‘₯+3𝑦=0 π‘₯+𝑦+𝑧=1 3π‘₯βˆ’π‘¦βˆ’π‘§=11 1 1 1 1 1

3 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. πŸπŸ‘. π‘₯+3𝑦=0 π‘₯+𝑦+𝑧=1 3π‘₯βˆ’π‘¦βˆ’π‘§=11 1 π‘₯+3𝑦=0 𝑦+ βˆ’ 1 2 𝑧= βˆ’ 𝑧=βˆ’1

4 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. πŸπŸ“. 2π‘₯βˆ’π‘¦βˆ’π‘§=4 π‘₯+π‘¦βˆ’5𝑧=βˆ’4 π‘₯ βˆ’2𝑦=4 𝑅 1 ↔ 𝑅 2 1 1 1 1 1

5 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. πŸπŸ“. 2π‘₯βˆ’π‘¦βˆ’π‘§=4 π‘₯+π‘¦βˆ’5𝑧=βˆ’4 π‘₯ βˆ’2𝑦=4 1 π‘₯+π‘¦βˆ’5𝑧=βˆ’ π‘¦βˆ’π‘§=βˆ’ 𝑧=1

6 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. πŸπŸ•. π‘₯+𝑦+𝑧=4 π‘₯βˆ’π‘¦βˆ’π‘§=0 π‘₯βˆ’π‘¦+𝑦=2 1 1 1 1 1

7 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. πŸπŸ•. 1 π‘₯+𝑦+𝑧=4 π‘₯βˆ’π‘¦βˆ’π‘§=0 π‘₯βˆ’π‘¦+𝑦=2

8 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. 29. π‘₯+2π‘¦βˆ’π‘§=βˆ’1 π‘₯βˆ’π‘¦+𝑧=4 π‘₯βˆ’π‘¦βˆ’3𝑧=βˆ’2 1 1 1 βˆ’π‘Ή πŸ‘ ↔ 𝑹 𝟐 1 1

9 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. 1 29. π‘₯+2π‘¦βˆ’π‘§=βˆ’1 π‘₯βˆ’π‘¦+𝑧=4 π‘₯βˆ’π‘¦βˆ’3𝑧=βˆ’2 π‘₯+2π‘¦βˆ’π‘§=βˆ’ 𝑦+2𝑧= 𝑧=1

10 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. πŸ‘πŸ‘. 2π‘₯+2𝑦+7𝑧=βˆ’ π‘₯+𝑦+2𝑧=0 4π‘₯+6π‘¦βˆ’π‘§=15 βˆ’1 βˆ’1 0 15 βˆ’1 βˆ’1 0 15 𝟏 βˆ’1 βˆ’ 𝟏 𝟎 βˆ’1 βˆ’5 4 6 βˆ’1 βˆ’ 𝟏 𝟎 βˆ’1 βˆ’5 𝟎 2 βˆ’13 βˆ’

11 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. πŸ‘πŸ‘. 𝟏 𝟎 βˆ’1 βˆ’5 𝟎 2 βˆ’13 βˆ’ 2π‘₯+2𝑦+7𝑧=βˆ’ π‘₯+𝑦+2𝑧=0 4π‘₯+6π‘¦βˆ’π‘§=15 𝟏 𝟎 𝟏 5 𝟎 2 βˆ’13 βˆ’ βˆ’3 17 𝟏 𝟎 𝟏 5 𝟎 2 βˆ’13 βˆ’ βˆ’3 17 𝟏 𝟎 𝟏 5 𝟎 𝟎 βˆ’23 βˆ’ βˆ’3 23 𝟏 𝟎 𝟏 5 𝟎 𝟎 𝟏 βˆ’ βˆ’3 βˆ’1

12 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. πŸ‘πŸ‘. 𝟏 𝟎 𝟏 5 𝟎 𝟎 𝟏 βˆ’ βˆ’3 βˆ’1 π‘₯+𝑦 =βˆ’ 𝑦+5𝑧=βˆ’ 𝑧=βˆ’1 2π‘₯+2𝑦+7𝑧=βˆ’ π‘₯+𝑦+2𝑧=0 4π‘₯+6π‘¦βˆ’π‘§=15

13 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 40. Find the quadratic function 𝑓 π‘₯ =π‘Ž π‘₯ 2 +𝑏π‘₯+𝑐 for which 𝑓 βˆ’1 =5, 𝑓 1 =3, and 𝑓 2 =5. π‘Žβˆ’π‘+𝑐=5 π‘Ž+𝑏+𝑐=3 4π‘Ž+2𝑏+𝑐=5 1 βˆ’

14 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 42. Find the quadratic function 𝑓 π‘₯ =π‘Ž π‘₯ 2 +𝑏π‘₯+𝑐 for which 𝑓 βˆ’1 =3, 𝑓 1 =1, 𝑓 2 =6 and 𝑓 3 =7.

15 International Studies Charter School
Mrs. Rivas International Studies Charter School Worksheet Practice 8-1 42. Find the quadratic function 𝑓 π‘₯ =π‘Ž π‘₯ 2 +𝑏π‘₯+𝑐 for which 𝑓 βˆ’1 =3, 𝑓 1 =1, 𝑓 2 =6 and 𝑓 3 =7.


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