Answer with explanation:
For, a Matrix A , having eigenvector 'v' has eigenvalue =2
The order of matrix is not given.
It has one eigenvalue it means it is of order , 1×1.
→A=[a]
Determinant [a-k I]=0, where k is eigenvalue of the given matrix.
It is given that,
k=2
For, k=2, the matrix [a-2 I] will become singular,that is
→ Determinant |a-2 I|=0
→I=[1]
→a=2
Let , v be the corresponding eigenvector of the given eigenvalue.
→[a-I] v=0
→[2-1] v=[0]
→[v]=[0]
→v=0
Now, corresponding eigenvector(v), when eigenvalue is 2 =0
We have to find solution of the system
→Ax=v
→[2] x=0
→[2 x] =[0]
→x=0, is one solution of the system.
Answer:
D) 4
Step-by-step explanation:
By remote interior angle property if a triangle, we have:
19x° + (18x - 4)° = 144°
(18x - 4 + 19x)° = 144°
(37x - 4)° = 144°
37x - 4 = 144
37x = 144 + 4
37x = 148
x = 148/37
x = 4
Answer:
x=-1
Step-by-step explanation:
x^2+2x=16=0
Use the quadratic formula to find the solutions.
−b±√b2−4(ac)/
2a
Substitute the values
a=1, b=2, and c=−16 into the quadratic formula and solve for x
Answer:
x = 18
Step-by-step explanation:
The angle vertically opposite (5x + 2) is also (5x + 2), then
(5x + 2) and (5x - 2) are same- side interior angles and sum to 180° , that is
5x + 2 + 5x - 2 = 180
10x = 180 ( divide both sides by 10 )
x = 18
