3 years ago

Help and I’ll help you !

Mathematics

1 answer:

likoan [24]3 years ago

7 0

Answer:

just multiply the length (18) x width(22)

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Convert this rational number

Olegator [25]

Answer:

0.25

Step-by-step explanation:

1 divided by 4 = 0.25

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3 years ago

All ______ numbers, which include rational and irrational numbers, can be plotted on a number line.

777dan777 [17]

Answer:

The letter D is correct (real)

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What is 2×109102929128829911001

babunello [35]

Answer:

218,205,858,257,659,822,002

Step-by-step explanation:

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3 years ago

What the area of the triangle

Crank

Answer:

B. 14 m sq.

Step-by-step explanation:

Area for a triangle

A = W times H times 1/2

4 times 7 = 28

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3 years ago

Suppose that the trace of a 2×2 matrix a is tr(a)=15 and the determinant is det(a)=50. find the eigenvalues of

IrinaK [193]

Recall that the characteristic polynomial of a 2x2 matrix $\mathbf A=\begin{bmatrix}a&b\\c&d\end{bmatrix}$ is

$\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}a-\lambda&b\\c&d-\lambda\end{vmatrix}=(a-\lambda)(d-\lambda)-bc=\lambda^2-(a+d)\lambda+(ad-bc)$

but $\det(\mathbf A)=ad-bc$ and $\mathrm{tr}(\mathbf A)=a+d$ , so the characteristic polynomial for $\mathbf A$ is

$\lambda^2-\mathrm{tr}(\mathbf A)\lambda+\det(\mathbf A)$

We're given that the trace is 15 and determinant is 50, so the characteristic polynomial for the matrix in question is

$\lambda^2-15\lambda+50$

and the eigenvalues are those $\lambda$ for which the characteristic polynomial evaluates to 0.

$\lambda^2-15\lambda+50=(\lambda-5)(\lambda-10)=0\implies\lambda=5,\lambda=10$

5 0

3 years ago