Pre Calculus Calculator - Free Online Calculator With Steps & Examples

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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eigenvalues (

1	0	0
2	4	0
1	7	8

)

Solution

λ=1, λ=4, λ=8

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(

1	0	0
2	4	0
1	7	8

)

Matrix eigenvalues

Let A be a square matrix, η a vector and λ a scalar that satisfy Aη=λη,
then λ is called the eigenvalue associated with the eigenvector η of A

The eigenvalues of A are the roots of the characteristic equation det(A−λ I)=0

det((

1	0	0
2	4	0
1	7	8

)−λ(

1	0	0
0	1	0
0	0	1

)): (−λ+1)(−λ+4)(−λ+8)

Solve (−λ+1)(−λ+4)(−λ+8)=0: λ=1, λ=4, λ=8

The eigenvalues are:

λ=1, λ=4, λ=8

Pre Calculus Examples

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1	0	0
2	4	0
1	7	8

) or choose below

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

Pre Calculus Calculator - Free Online Calculator With Steps & Examples

Solution

Solution steps

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