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3 years ago

Explain why it is important to be able to perform matrix operations by hand when a calculator can do them for you.

Mathematics

2 answers:

Assoli18 [71]3 years ago

6 0

Older and did not have that type of match that is on applications.

mestny [16]3 years ago

5 0

Calculators may not always be available.

Finding an inverse by hand allows me to understand the process.

Calculators may not show the elements of a matrix as fractions.

Sometimes it is faster by hand.

A matrix could contain a variable.

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2 years ago

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3 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

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2 years ago

Tony has 23 gallon of milk. He wants to equally share the milk between 3 milkshakes. Which expression represents the amount of m

DiKsa [7]

Answer:

Amount of milk in each milkshake = 7 2/3 gallons

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Gallons of milk = 23 (given)

Number of Milkshakes = 3

Because the gallons of milk were shared equally,

Amount of milk in each milkshake = 23/3 = 7 2/3 gallons of milk

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3 years ago