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Can someone help me prove two theorems? I know they both are true, but can't come up with proofs.
1) Prove that a 3x3 matrix A is orientation preserving iff det(A)>0.
2) Prove that for A, B (both 3x3 matrices) that det(AB)=detA*detB. (A, B may or may not be invertible).
THANK YOU!!!!
1) Prove that a 3x3 matrix A is orientation preserving iff det(A)>0.
2) Prove that for A, B (both 3x3 matrices) that det(AB)=detA*detB. (A, B may or may not be invertible).
THANK YOU!!!!