Matematické Fórum

stuart clark · 19. 07. 2011 05:34

if $A^5=O$ such that $A^n$ is not equal to $I$ for $1\leq n\leq 4,\;\;$ then $(I-A)^{-1}$ equals?

where $I$ is identity matrix, $O$ is null matrix, $A$ is a matrix

vanok · 01. 10. 2011 16:53

hi stuart,

staci konstatovat ze

$( I + A + A^2 + A^3 + A^4 )(I - A ) = I$

srdecne vanok

translated:
...it's sufficent to state, that equality
$$I+A+A^2+A^3+A^4$$I-A$=I$
holds.

vanok · 03. 10. 2011 13:13

Stuart,

Posledna relacia da okamzite

$(I-A)^{-1}= I+A+A^2+A^3+A^4$

Srdecne

vanok

Matematické Fórum

#1 19. 07. 2011 05:34

matrices

#2 01. 10. 2011 16:53

Re: matrices

#3 03. 10. 2011 13:13

Re: matrices

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