Worksheet Practice 8-1 Mrs. Rivas International Studies Charter School Pg. 815 # 23-27 Odd and 33,...
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Transcript of Worksheet Practice 8-1 Mrs. Rivas International Studies Charter School Pg. 815 # 23-27 Odd and 33,...
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter School
Pg. 815 # 23-27 Odd and 33, 40, 42
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{ 𝑥+3 𝑦=0𝑥+𝑦+𝑧=13 𝑥− 𝑦− 𝑧=11
𝟐𝟑 . 1
10
100
100
1100
10
100
10 1
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{ 𝑥+3 𝑦=0𝑥+𝑦+𝑧=13 𝑥− 𝑦− 𝑧=11
𝟐𝟑 . 100
10 1 { 𝑥+3 𝑦=0
𝑦+− 12𝑧=− 1
2𝑧=−1
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{ 2𝑥− 𝑦−𝑧=4𝑥+𝑦−5 𝑧=−4𝑥−2 𝑦=4
𝟐𝟓 .𝑅1↔𝑅2
1 100
100
1100
10
100
10 1
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{ 2𝑥− 𝑦−𝑧=4𝑥+𝑦−5 𝑧=−4𝑥−2 𝑦=4
𝟐𝟓 . 100
10 1
{𝑥+𝑦−5 𝑧=−4𝑦−𝑧=−4𝑧=1
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{ 𝑥+𝑦+𝑧=4𝑥− 𝑦− 𝑧=0𝑥− 𝑦+𝑦=2
𝟐𝟕 . 1
100
100
1
1
00
1
0
100
10 1
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{ 𝑥+𝑦+𝑧=4𝑥− 𝑦− 𝑧=0𝑥− 𝑦+𝑦=2
𝟐𝟕 . 100
10 1
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{𝑥+2 𝑦−𝑧=−1𝑥− 𝑦+𝑧=4
𝑥− 𝑦−3 𝑧=−2
29. 1
100
−𝑹𝟑↔𝑹𝟐
100
1
100
10
100
1
0 1
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{𝑥+2 𝑦−𝑧=−1𝑥− 𝑦+𝑧=4
𝑥− 𝑦−3 𝑧=−2
29. 100
1
0 1 {𝑥+2 𝑦− 𝑧=−1𝑦+2 𝑧=1𝑧=1
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{2𝑥+2 𝑦+7 𝑧=−12𝑥+𝑦+2𝑧=04 𝑥+6 𝑦− 𝑧=15
𝟑𝟑 . [ 2 2 72 1 24 6 −1|
−1015 ]
[ 2 2 72 1 24 6 −1|
−1015 ] [𝟏 1
72
2 1 24 6 −1
|− 12015 ]
[𝟏 172
𝟎 −1 −54 6 −1
|− 12315 ] [𝟏 1
72
𝟎 −1 −5𝟎 2 −13
|− 12317 ]
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{2𝑥+2 𝑦+7 𝑧=−12𝑥+𝑦+2𝑧=04 𝑥+6 𝑦− 𝑧=15
𝟑𝟑 . [𝟏 172
𝟎 −1 −5𝟎 2 −13
|− 12317 ]
[𝟏 172
𝟎 𝟏 5𝟎 2 −13
|− 12−317 ] [𝟏 1
72
𝟎 𝟏 5𝟎 2 −13
|− 12−317 ]
[𝟏 172
𝟎 𝟏 5𝟎 𝟎 −23
|− 12−323 ] [𝟏 1
72
𝟎 𝟏 5𝟎 𝟎 𝟏
|− 12−3−1 ]
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter SchoolSolve each system of equations using matrices. Use the
Gaussian elimination with back-substitution or Gauss-Jordan elimination.
{2𝑥+2 𝑦+7 𝑧=−12𝑥+𝑦+2𝑧=04 𝑥+6 𝑦− 𝑧=15
𝟑𝟑 . [𝟏 172
𝟎 𝟏 5𝟎 𝟎 𝟏
|− 12−3−1 ]{𝑥+𝑦+ 7
2=− 1
2𝑦+5𝑧=−3𝑧=−1
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter School40. Find the quadratic function for which and
{ 𝑎−𝑏+𝑐=5𝑎+𝑏+𝑐=34 𝑎+2𝑏+𝑐=5
[ 1 −1 11 1 14 2 1|
535 ]
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter School42. Find the quadratic function for which and
HomeworkWorksheet Practice 8-1
Mrs. Rivas
International Studies Charter School42. Find the quadratic function for which and