Log in
Algebra
1
answer
0
watching
235
views
10 Nov 2019

Construct 3 x 2 matrices A and B so that Ax=0 has only thetrivial solution, but BX=0 has nontrivial solutions.


Can someone please explain this to me?

Watch
1
answer
0
watching
235
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Casey Durgan
Casey DurganLv2
14 Jun 2019

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share

Related questions

3. (7 points) Decide whether the following statements are trueor false (give a short justication if you
want full points!):
(a) A homogeneous system of three equations and four variables hasa nontrivial solution.


(b) If u1; u2 are both solutions to the system Ax = b then(u1+u2)/2 is also a solution.


(c) You can find three vectors in R4, u; v;w, with u orthogonal tov, v orthogonal to w, but u is
not orthogonal to w.


(d) If A;B;C are nxn non-singular matrices, then (ABC)^-1 =C^-1A^-1B^-1


(e) There can be a 4x4 non-singular matrix A such that Ax = 0 has anon-trivial solution (i.e.
x is a solution with some non-zero entries).


(f) Every square matrix with 1's down the diagonal isinvertible


(g) If A is invertible, then A^2 is invertible too.

Linear Algebra T/F problem. Please answer all questions. I will give thumb up, thank you

number 5

Show transcribed image text

Weekly leaderboard

Home
Homework Help 3,900,000
Algebra 190,000
Start filling in the gaps now
Log in