How many children and how many adults?. Find the characteristic polynomial and the real eigenvalues of the matrix3. Find the 3,2-cofactor of the matrix a..
Trang 11 Find the determinant of the matrices
4 7
2 6
A
B
−
=
=
2 A group took a trip on a bus, at $3 per child and $3.20 per adult for a total of
$118.40 They took the train back at $3.50 per child and $3.60 per adult for a total
of $135.20 How many children and how many adults?
3 Find the characteristic polynomial and the real eigenvalues of the matrix
4 Find the (3,2)-cofactor of the matrix
a
1 3 2
2 0 1
3 0 5
; b 1 2
1 4
−
5 Let 3 2
1 5
=
, find matrix P so that
1
P AP− is diagonal
6 Find a formula for x k
if x0 = 0;x1 = 1; x k+2 = 10x k − 3x k+1
7 Solve the following linear recurrences:
x + = x −x + x = x =