Answer to Question #55838 in Linear Algebra for MUSTY FRESH

Question

1 Solve for x and y: 3x + 4y = 9, 2x + 3y =8
x = 7.5, y = - 4. 5
x = 7.0, y = - 4. 5
x = 4.5, y = - 7. 5
x = 7.5, y = - 4. 1

2 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
{0,1,0}
{3,0,2}
{2,0,1}
{0,1,1}

3 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=4
,what is c
{2,3,0}
{-2,1,1}
{2,1,1}
{3,2,6}

4 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
5
1
2
7

5 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=1
,what is a
{-2,1,0}
{3,5,2}
{1,0,0}
{2,1,4}