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October 23, 2014

October 23, 2014

Posted by **Angela** on Wednesday, October 7, 2009 at 10:31pm.

A=6e3tsin(6t) −6e4tcos(6t)

−5e3tcos(6t) −5e4tsin(6t)

then A−1=

- linear algebra -
**MathMate**, Wednesday, October 7, 2009 at 10:52pmThe inverse of a 2x2 can be done as follows:

For matrix, A=

|a b|

|c d|

The inverse A^{-1}=

|d -b|

|-c a| / (ad-bc)

For example:

If A=

|4 5|

|6 7|

A^{-1}=

|7 -5|

|-6 4| / (28-30)

=

|-3.5 2.5|

|3 -2|

Check:

|4 5| |-3.5 2.5|

|6 7| |3 -2|

=

|1 0|

|0 1|

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