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
Step-by-step explanation:
62400 is what percent of 156000
<span>= 62400 / 156000 </span>
<span>= 0.4 </span>
<span>Converting decimal to a percentage: </span>
<span>0.4 * 100 = 40%</span>
Answer:
Center: (0, 0)
Radius: 4
Step-by-step explanation:
Circle Standard Equation: (x - h)² + (y - k)² = r²
(h, k) is center
r is radius
We see that our <em>h</em> and our <em>k</em> are both 0.
∴ Our center is (0, 0), origin.
We see that our r² = 16
√r² = √16
∴ Our radius is equal to 4
Answer:
105degrees
Step-by-step explanation:
Using the theorems that states that the sum of the opposite side of the quadrilateral is 180degrees, hence;
<RST + <TQR = 180
5x+15 + 4x+ 3 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162/9
x = 18
Since <RST = 5x+15
<RST = 5(18) + 15
<RST = 90 + 15
<RST = 105degrees
Hence the measure of <RST is 105degrees
