(a) Calculate the inverse of A, where
|1 −2| = A
|4 −2|
(b) Find the value of k for which the matrix B is singular, where
|1 5 −3| = B
|3 −3 3|
|2 13 k|
*give ur workings and clear answer.
Okay, you just need some facts to get yourself going on this one.
If you have a matrix that we'll call A:
a b
c d
then the INVERSE of it will be
[ 1/ (determinant of A) ] * d -b
-c a
The inverse of a 2x2 matrix - mathcentre
That link above has it all summarised quite nicely.
A matrix is SINGULAR if its determinant is zero.
Once again, I will leave that to you.*give ur workings and clear answer.