Elementary Mathematics
1. Let
and
c=3 ,d=5 then verify the formula
a) (A+B)t=At=Bt
b)c(A+B)=c.A+c.B
c)(c+d).A=c.A+d.A
2. Show the matrix
![103_Untitled.png](https://secure.tutorsglobe.com/CMSImages/103_Untitled.png)
is a singular matrix
3. Calculate the inverse of
![1902_Untitled.png](https://secure.tutorsglobe.com/CMSImages/1902_Untitled.png)
4. Calculate the determinant of the given matrices
![1500_Untitled.png](https://secure.tutorsglobe.com/CMSImages/1500_Untitled.png)
5. A) Let
and
then calculate (i.e. matrix multiplication.
B) Let
and
then calculate A,B,A+B,A-B.
7. a)Let
than verify det(AT)=det(A) and
b) Let
and
then verify det(AB)=det(A).det(B)