plshelp111
New member
- Joined
- Aug 15, 2020
- Messages
- 5
It was an assignment for 11th grade 16-17 year old math, these questions were under linear algebra. Can you please help with the rest and explain why 1a is false?Have you ever taken a course in "Linear Algebra"? Do you know what these words you are using mean?
Actually, I find the very first problem, 1a, peculiar! It asks whether it is true of false that, for A and B n by n matrices, \(\displaystyle (A\cdot B)= A^2\cdot B^2\). Obviously that is false! But I rather think it was intended to be the more interesting "\(\displaystyle (A\cdot B)^2= A^2\cdot B^2\)"- which is also false!
Wow yes it was supposed to be (A⋅B)2=A2⋅B2Have you ever taken a course in "Linear Algebra"? Do you know what these words you are using mean?
Actually, I find the very first problem, 1a, peculiar! It asks whether it is true of false that, for A and B n by n matrices, \(\displaystyle (A\cdot B)= A^2\cdot B^2\). Obviously that is false! But I rather think it was intended to be the more interesting "\(\displaystyle (A\cdot B)^2= A^2\cdot B^2\)"- which is also false!