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3 years ago

What does the PErron-Frobenius Theorem say, and why is it useful?

Mathematics

1 answer:

Alex787 [66]3 years ago

5 0

Answer:

Perron–Frobenius theorem for irreducible matrices. Let A be an irreducible non-negative n × n matrix with period h and spectral radius ρ(A) = r. Then the following statements hold. The number r is a positive real number and it is an eigenvalue of the matrix A, called the Perron–Frobenius eigenvalue.

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If a polynomial function f(x) has roots 3 and square root of 7, what must also be a root of f(x)

Neko [114]

Answer:

x = - $\sqrt{7}$

Step-by-step explanation:

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x = $\sqrt{7}$ is a root then so is x = - $\sqrt{7}$

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3 years ago

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3 years ago

2x + y = 15 x + y = 10

Artyom0805 [142]

Answer:

2x+y=15x+y=10

Consider the first equation. Subtract 15x from both sides.

2x+y−15x=y

Combine 2x and −15x to get −13x.

−13x+y=y

Subtract y from both sides.

−13x+y−y=0

Combine y and −y to get 0.

−13x=0

Divide both sides by −13. Zero divided by any non-zero number gives zero.

x=0

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2 years ago

If f(x)=x-3 and g(x)=x^3 then f(g(3))

ehidna [41]

Answer:

f(g(3)) = 24

Step-by-step explanation:

Evaluate g(3) then substitute the result obtained into f(x)

g(3) = 3³ = 27 , then

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