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Matrix Exponential Calculator

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e^{(1 2
0 −1
)}

Solution

(

`e`	`e`²−1`e`
0	1`e`

)

Show Steps

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Solution steps

One step at a time

e^{(1 2
0 −1
)}

Diagonalize (

1	2
0	−1

): (

1	−1
0	1

)(

1	0
0	−1

)(

1	1
0	1

)

For diagonalizable matrix A=PDP⁻¹ the matrix exponential is e^A=Pe^DP⁻¹

1	−1
0	1

)e^{(1 0
0 −1
)}(

1	1
0	1

)

e^{(1 0
0 −1
)}=(

`e`	0
0	1`e`

)

1	−1
0	1

)(

`e`	0
0	1`e`

)(

1	1
0	1

)

(

1	−1
0	1

)(

`e`	0
0	1`e`

)(

1	1
0	1

)=(

`e`	`e`²−1`e`
0	1`e`

)

`e`	`e`²−1`e`
0	1`e`

)

Matrix Exponential Examples

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היי, לשאול שאלה לגבי e^{(1 2
0 −1
)} או בחר למטה

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Notebook

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

Matrix Exponential Calculator

Solution

Solution steps

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