Think about this. Divide the first equation by 2 and subtract it from the last four equations. What happens? The unknown variable x disappears from the last four modified equations. Now scale the modified second equation and subtract it from the remaining three modified equations to cancel out the unknown y variable from the last three modified equations. Then scale the new modified third equation and subtract it from the remaining two modified equations to cancel out the unknown z variable. Then scale the new modified fourth equation and subtract it from the remaining modified equation to cancel out the unknown w variable. The final modified fifth equation contains only the unknown u variable. You have just performed forward elimination. Now solve for u, then for w, then for z, then for y, and finally for x, and you have just performed backward substitution. This is the most straight forward and simplest method, but could fail for many systems of linear equations. That is where Gilbert Strang's "Linear Algebra" book comes to the rescue to help students understand the Gaussian Forward Elimination and Back Substitution processes and why Gaussian Elimination with Complete Pivoting is the most reliable method for solving systems of linear equations.
@mathchemistryteacherMJКүн бұрын
Nice 👍 👍👍
@wes9627Күн бұрын
I would teach the more advanced students how to perform Gaussian Elimination with Complete Pivoting, (GECP) and they would be able to reliably solve any set of linear equations. This set of linear equations doesn't require GECP because they are linearly independent and already given in optimal order for direct forward elimination and back substitution. Teach the basics of linear algebra in 10th grade, the basics of matrix methods in 11th grade, and the basics of Gaussian Elimination, including GECP, in 12th grade. Gilbert Strang's "Linear Algebra" book would be ideal for teaching advanced high school students.
@mathchemistryteacherMJКүн бұрын
Perfect 👍
@Soham69-i1gКүн бұрын
Nice video ❤❤❤❤❤❤
@mathchemistryteacherMJКүн бұрын
Thank you 🙏❤️
@MathtrickstutoringКүн бұрын
Nice question and comprehensive explanation 👍👍
@mathchemistryteacherMJКүн бұрын
Glad you found it helpful 👍
@SmosesPahlanКүн бұрын
Informative video ❤❤
@mathchemistryteacherMJКүн бұрын
Thanks for watching 😊
@SmosesPahlanКүн бұрын
What a beautiful question❤
@mathchemistryteacherMJКүн бұрын
Thanks
@mathchemistryteacherMJКүн бұрын
Do you know any different solutions?😊
@mathchemistryteacherMJ2 күн бұрын
😊
@shirinsophy31132 күн бұрын
👍👍
@mathchemistryteacherMJ2 күн бұрын
❤
@SmosesPahlan2 күн бұрын
Nice video ❤
@mathchemistryteacherMJ2 күн бұрын
Thanks 😊
@Mathtrickstutoring2 күн бұрын
I always had problems to this But now with PEMDAS I can remember it easily 🙏🙏
@mathchemistryteacherMJ2 күн бұрын
Thanks
@moeinshafigh53443 күн бұрын
Perfect👌
@mathchemistryteacherMJ3 күн бұрын
Thanks ❤️🙏
@anjaneyulluanjaneyulu69195 күн бұрын
1098😊
@mathchemistryteacherMJ4 күн бұрын
Correct 😊
@Mathtrickstutoring5 күн бұрын
72
@shirinsophy31137 күн бұрын
👍👍
@shirinsophy31137 күн бұрын
😂1098
@MATHLOVER-x9s7 күн бұрын
1098
@SmosesPahlan7 күн бұрын
1098
@Mathtrickstutoring7 күн бұрын
1098
@SmosesPahlan7 күн бұрын
4(4×4)^1/2
@MATHLOVER-x9s7 күн бұрын
4√(4×4)
@LTG_Lanny8 күн бұрын
√ 4 * √ 4 * 4=16 😅
@mathchemistryteacherMJ7 күн бұрын
Smart guy 👍
@shirinsophy31138 күн бұрын
D
@shirinsophy31138 күн бұрын
👍👍
@Mathtrickstutoring8 күн бұрын
Can we use radical?
@mathchemistryteacherMJ8 күн бұрын
@@Mathtrickstutoring why not
@Mathtrickstutoring8 күн бұрын
Super hard 😮
@MATHLOVER-x9s8 күн бұрын
4x4-4
@MATHLOVER-x9s10 күн бұрын
ID Test
@Mathtrickstutoring10 күн бұрын
Nice question
@Blozza10 күн бұрын
-9
@mathchemistryteacherMJ9 күн бұрын
Correct 👍
@choobeedog10 күн бұрын
What is the 69? Ate something
@SmosesPahlan10 күн бұрын
82
@SmosesPahlan10 күн бұрын
Shall we Dance!!
@Mathtrickstutoring10 күн бұрын
Dance with me ❤
@MATHLOVER-x9s10 күн бұрын
like a lazy ocean ...
@MATHLOVER-x9s10 күн бұрын
82
@mathchemistryteacherMJ10 күн бұрын
@@MATHLOVER-x9s correct 👍
@aar100310 күн бұрын
82
@mathchemistryteacherMJ10 күн бұрын
@@aar1003 correct 👍
@hgEITAMNETA110 күн бұрын
82
@mathchemistryteacherMJ10 күн бұрын
@hgEITAMNETA1 correct 👍
@idk_what_to_put_hereI-_-I10 күн бұрын
91.1060205
@PranayRangareddy11 күн бұрын
solved it in a blink since I am preparing for Jee advanced exam (toughest engineering entrance exam in INDIA)😀