ATAR Notes: Forum

VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE General & Further Mathematics => Topic started by: Yendall on September 02, 2012, 07:57:32 pm

Title: Matrix workings (systems of linear equations)
Post by: Yendall on September 02, 2012, 07:57:32 pm

For full marks, do you have to show the consistency or dependency through graphing the two sets of linear equations? Or will you still obtain full marks by proving that the determinant of a matrix is not equal to 0, and then solving the sets?

Also, if equations are inconsistant or dependant, does that mean they have a unique solution?

Thanks.

Title: Re: Matrix workings (systems of linear equations)
Post by: paulsterio on September 02, 2012, 08:07:34 pm

as long as det =/= 0, you will have unique solutions

Title: Re: Matrix workings (systems of linear equations)
Post by: Yendall on September 02, 2012, 08:10:34 pm

Quote from: paulsterio on September 02, 2012, 08:07:34 pm

as long as det =/= 0, you will have unique solutions

And as long as you prove that through workings you would obtain full marks? I know it's a stupid question, but my teacher insists on showing complete working. If i just wrote on the side that I used Det|A| to find that A =/= 0, and then solved the equations that would be enough?

Title: Re: Matrix workings (systems of linear equations)
Post by: paulsterio on September 02, 2012, 09:18:05 pm

It would be enough to show that a solution exists, yes.

Title: Re: Matrix workings (systems of linear equations)
Post by: Yendall on September 02, 2012, 09:19:11 pm

Quote from: paulsterio on September 02, 2012, 09:18:05 pm

It would be enough to show that a solution exists, yes.

Okay sweet, thanks for that.