Linear Algebra Answers

If A.x = λx, where A = {{{{211232−212}}}}, 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}

let z1=(1,0,1) ,z2=(0,1,-2) ,z3=(-1,-1,0) .
a. if z=(a,b.c), find f(z).
b. let f be a functional such that f(z1)=f(z2)=0 and f(z3) not equal to zero. if z=(2,3,-1) show that f(z) not equal to zero.

If A.x = ƛx where A = [■(2&2&-2@1&3&1@1&2&2)], determine the Eigen values of the matrix A and an Eigen vector corresponding to each Eigen value. If ƛ=1, what is a?

(A) {-2, 1, 0}
(B) {3, 5, 2}
(C) {1, 0, 0}
(D) {2, 1, 4}