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###### Anku posted an Question
April 21, 2021 • 15:15 pm 30 points
• IIT JAM
• Mathematics (MA)

# Can we find characteristic and minimal polynomial forming block....if so pls once tell

how to characteristic and minimal polynomial forming block....

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• ##### Piyush pachauri

yes ,There is a way to find characteristic polynomial of A using characteristic polynomial of block diagonal matrix. *characteristic polynomial of A is just multiplication of charpoly of block diagonal matrices. * min polynomial is LCM of min polynomial of block diagonal matrices.

• ##### Alka gupta

this is very conceptual theory....I suggest you plz study step by step ... characteristics, then minimal polynomial ,then Jordan blocks....then you have no doubt about this theory....

• ##### Deepak singh 1

there is no shortcut method to find ch. and min. polynomial , we have to find by finding det(A-xI)=0 .

see example

• ##### Alka gupta

this is not Jordan form of matrix A....if Jordan form is given then we can find both ... minimal polynomial and characteristics equation...I explain you by a example

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