Planes

Question 1

So what happens in planes

Answer 1

If Det is not 0, then unique

If not 0 then not unique

Not unique either means infinite or no solutions (So GOTTA TEST FOR BOTH OF THESE )

if consistent = means infinite at sheaf
If not consistent then triangular prism

(Assuming no parallel etc)

Question 2

So if they say show matrix is non singular and what are solution

Answer 2

Likely to have quadratic with two things making it non singular, thus test BOTH OF THESE

One might be parallels so no solution one might be consistent so infinite solutioj

Question 3

When doing matrices I to inverse conversions what can you do

Answer 3

Factor anything out to give I, but also divide stuff etc like normals maths

Question 4

Remember full steps

Answer 4

Check if the same
Check if parallel (only coefficients have to be parallel not the final )

Now check I f Det is 0

Etc

Question 5

Bruv FOR INTERPRETATION REMMEBER RULES!

Answer 5

PARALLEL SAME
DET M 0!!!

NOW DO THE REST