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.
20 medium and large pumpkins
m ... number of medium pumpkins
l ... number of large pumpkins
20 = m + l
20 = m + (m + 6)
20 = 2 * m + 6
2 * m = 20 - 6
2 * m = 14
m = 7 medium pumpkins
l = 20 - 7 = 13 large pumpkins
Result: Julio bought 13 large pumpkins.
I hope this helps you
2y+y=9
3y=9
y=3
x=2y=2.3=6
Answer:
2 %
Step-by-step explanation:
Money borrowed, Principal, P = $ 700
time of investment, T = 3 years
Total interest paid, Simple interest, S.I = $ 42
Let the rate of interest is R.
Use the formula for simple interest.
By substituting the values
4200 = 2100 R
R = 2 %
Thus, the rate of interest is 2%.
Answer:
Step-by-step explanation:
Three or more points that lie on the same line are collinear points.
I have highlighted the points so you can see where they lay on the lines. You can see only one set of points is on 2 different lines.
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