SOLUTION: 1 If A.x=
λx
,where A=
∣∣∣∣211232−212∣∣∣∣
,determine the eigen values of the matrix A, and an eigen vector correspond
Algebra.Com
Question 846468: 1 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}
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=4
,what is c
{2,3,0}
{2,1,0}
{-2,1,1}
{3,2,6}
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
3
1
5
7
4 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}
5 Solve the set of linear equations by Guassian elimination method : a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find c
4
5
9
10
6 Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for b
9
-3
5
-4
7 Solve the set of linear equations by Guassian elimination method : a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find b
4
-5
-3
5
8 Solve the set of linear equations by Guassian elimination method : a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find a
1
4
5
-1
9 Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for a
2
4
7
3
10 Let A be a
n×n
square matrix . A is a symmetric matrix if A equal to …….
AT
B
C
4BT
11. Commpute the matrix :
∣∣∣102−5−314−1∣∣∣+∣∣∣32−506−2−1−3∣∣∣
∣∣∣42−3−73−13−4∣∣∣
∣∣∣42−3−53−13−4∣∣∣
∣∣∣41−3−53−13−4∣∣∣
∣∣∣423−53−13−4∣∣∣
12 Let A=
∣∣∣2003∣∣∣
and B=
∣∣∣70011∣∣∣
. Find AB
∣∣∣140033∣∣∣
∣∣∣14003∣∣∣
∣∣∣10033∣∣∣
∣∣∣40033∣∣∣
13 Solve the linear equation : 2x+y-3z= 5,3 x-2y-2z= 5, and 5x-3y-z= 16.
(1 , 3 , -2 )
(1 , -3 , 2 )
(1 , -3 , -1 )
(1 , -3 , -2 )
14 Two systems of linear equations involving the same variables are said to be ......, if they have the same solution set.
matrix
subset
equivalent
commutative
15 Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for a
2
4
7
3
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
You can email me the questions in a proper format - here it is very difficult to read the determinant and matrix problems.
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