Qstn 1 -
If A.x = λx
where
A=
\(\begin{bmatrix} 2 && 2 && -2\\ 1 && 3 && 1\\ 1 && 2 && 2\\ \end{bmatrix}\)
,determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If λ=2
,what is b?
A) {0,1,0}
B) {3,0,2}
C) {2,0,1}
D) {0,1,1}
Qstn 2 -
If A.x = λx
where
A=
\(\begin{bmatrix} 2 && 2 && -2\\ 1 && 3 && 1\\ 1 && 2 && 2\\ \end{bmatrix}\)
,determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If λ=4 ,what is c?
A) {2,3,0}
B) {-2,1,1}
C) {2,1,1}
D) {3,2,6}
Qstn 3 -
Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for c
A) 2
B) 1
C) 5
D) 7
