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Department of Mathematics at Columbia University - Welcomebayer/LinearAlgebra/S05/midterm1A... · 2016. 7. 21. · [4] Using Cramer's rule, find w satisfying the following system

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Page 1: Department of Mathematics at Columbia University - Welcomebayer/LinearAlgebra/S05/midterm1A... · 2016. 7. 21. · [4] Using Cramer's rule, find w satisfying the following system
Page 2: Department of Mathematics at Columbia University - Welcomebayer/LinearAlgebra/S05/midterm1A... · 2016. 7. 21. · [4] Using Cramer's rule, find w satisfying the following system
Page 3: Department of Mathematics at Columbia University - Welcomebayer/LinearAlgebra/S05/midterm1A... · 2016. 7. 21. · [4] Using Cramer's rule, find w satisfying the following system
Page 4: Department of Mathematics at Columbia University - Welcomebayer/LinearAlgebra/S05/midterm1A... · 2016. 7. 21. · [4] Using Cramer's rule, find w satisfying the following system
Page 5: Department of Mathematics at Columbia University - Welcomebayer/LinearAlgebra/S05/midterm1A... · 2016. 7. 21. · [4] Using Cramer's rule, find w satisfying the following system
Page 6: Department of Mathematics at Columbia University - Welcomebayer/LinearAlgebra/S05/midterm1A... · 2016. 7. 21. · [4] Using Cramer's rule, find w satisfying the following system
Page 7: Department of Mathematics at Columbia University - Welcomebayer/LinearAlgebra/S05/midterm1A... · 2016. 7. 21. · [4] Using Cramer's rule, find w satisfying the following system
Page 8: Department of Mathematics at Columbia University - Welcomebayer/LinearAlgebra/S05/midterm1A... · 2016. 7. 21. · [4] Using Cramer's rule, find w satisfying the following system

a = 881, 0, x, 0, 0<,80, 1, 0, x, 0<,80, 0, 1, 0, x<,8x, 0, 0, 1, 0<,80, x, 0, 0, 1<<;

a êê MatrixFormDet@aDi

k

jjjjjjjjjjjjjjjjjj

1 0 x 0 00 1 0 x 00 0 1 0 xx 0 0 1 00 x 0 0 1

y

{

zzzzzzzzzzzzzzzzzz

1 + x5

a = 881, 0, x, 0, 0, 0<,80, 1, 0, x, 0, 0<,80, 0, 1, 0, x, 0<,80, 0, 0, 1, 0, x<,8x, 0, 0, 0, 1, 0<,80, x, 0, 0, 0, 1<<;

a êê MatrixFormDet@aDi

k

jjjjjjjjjjjjjjjjjjjjjjj

1 0 x 0 0 00 1 0 x 0 00 0 1 0 x 00 0 0 1 0 xx 0 0 0 1 00 x 0 0 0 1

y

{

zzzzzzzzzzzzzzzzzzzzzzz

1 + 2 x3 + x6

problem6.nb 1