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Gennadij [26K]
2 years ago
15

Write an equation of the line that is perpendicular to y=-3x+1 and passes through point (5,3).

Mathematics
1 answer:
Snezhnost [94]2 years ago
8 0

Answer: There are two formulas that we will use the first one is the y=m x+b and the second one is finding the perpendicular line.

Step-by-step explanation:

the first one is

y=m x+b

y= 3 x -12

the second one is

first find the negative reciprocal of the slope of the original line and use the point slope formula y- y,= m(x - x1) to find the line perpendicular to

Y= 3 x 1

X= 5

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Let v be an eigenvector of a matrix A with a corresponding eigenvalue ?=2. Find one solution x of the system Ax=v.
Murljashka [212]

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,

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For, k=2, the matrix [a-2 I] will become singular,that is

→ Determinant |a-2 I|=0

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→[a-I] v=0

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→[v]=[0]

→v=0

Now, corresponding eigenvector(v), when eigenvalue is 2 =0

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→[2] x=0

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