The Student Room Group
Uni students - Complete our survey >>
Uni students - Complete our survey >>
Uni students - Complete our survey >>

5b


how do i do part b?
Reply 1
Avatar for B_9710
B_9710
18
Original post by jakaloupe

how do i do part b?


Show that detA≠0 \text{det} \mathbf{A} \neq 0 for all real values of a (∀a,a∈R \forall a, a\in \mathbb{R} ).
(edited 7 years ago)
Reply 2
Avatar for jakaloupe
jakaloupe
OP
Original post by B_9710
Show that detA≠0 \text{det} \mathbf{A} \neq 0 for all real values of a (∀a,a∈R \forall a, a\in \mathbb{R} ).


so if i solve it and find the roots -2+6i and -2-6i then does that prove it? thus has a solution and therefore is non singular
Original post by jakaloupe
so if i solve it and find the roots -2+6i and -2-6i then does that prove it? thus has a solution and therefore is non singular


Well technically the roots are −2±6i-2\pm \sqrt6i therefore the det(A)≠0det(A)\not=0 for all a∈Ra\in\mathbb{R} thus showing that the matrix is non-singular for all real a.
Reply 4
Avatar for jakaloupe
jakaloupe
OP
Original post by RDKGames
Well technically the roots are −2±6i-2\pm \sqrt6i therefore the det(A)≠0det(A)\not=0 for all a∈Ra\in\mathbb{R} thus showing that the matrix is non-singular for all real a.


oh ok :biggrin:

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you