If P and Q are invertible matrices of same order,then show that PQ is also invertible - Maths - Matrices

Question

If P and Q are invertible matrices of same order,then show that PQ
is also invertible

Lovina Kansal · Accepted Answer

Dear student
Since both P and Q are invertible
∴P and Q are non-singular , i e
, P≠0 and Q≠0 Also, PQ=PQ≠0
So, PQ is non-singular
Therefore,PQ is invertible
Regards

If P and Q are invertible matrices of same order,then show that PQ is also invertible.