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Can anyone help, I've not a clue for these?
-For which 3 numbers c is this matrix not invertible?
2 c c
A= c c c
8 7 c
cosx -sinx 0
- If F(x)= sinx cosx 0
0 0 1
Show that F(x).F(y)= F(x+y)
and finaly
- A linear transformation T maps A(1,2) to A'(-4,6) and B'(6,3) to B'(3,0).
Find the following:
(i) The matrix T .
(ii) The image of the point K(-5,-2) under T .
If anyone can help ASAP it would be hugely appreciated. I'm really stuggling to take it in :-/
For Q1, use the fact that a matrix is non-invertible if its determinant is 0. Do you know how to calculate the determinant of that matrix?
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