Eigen Values and Vectors - (TRICK) | 3 Methods to solve GATE questions

𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :

𝗙𝗢𝗟𝗟𝗢𝗪 𝗠𝗘 𝗢𝗡:

𝗦𝗨𝗕𝗦𝗖𝗥𝗜𝗕𝗘 𝗧𝗢 𝗠𝗬 𝗬𝗢𝗨𝗧𝗨𝗕𝗘 𝗖𝗛𝗔𝗡𝗡𝗘𝗟𝗦:

[BTS.army]

Guys result is if each row sum of A is some value say alpha then alpha must be an Eigen value . Here each row sum was 15 that's why 15 must be an Eigen value.

[gangampavan]

Method 3 doesn't work for all type of matrices

[inspiregyanguru]

The third method does not hold true for all cases.
The largest Eigen value may or may not lie between sum of row min and sum of row max element

[bmariani]

Why not use a proper example with a different mix. Can you provide one ?

[ArjunSingh-vfls]

Sir this method is applicable for all order

[ArjunSingh-vfls]

What can we do when all elements of given ditermenent are not same and give Not equal value

[ankithsingh]

But Eigen value is the trace of diagonal then trace of diagonal is 5

[akshathanaidu]

is there any tricks to find eigen vector

[rakhipatil]

Is this trick applicable for the matrix having row elements sum not same?

[Binod-ex]

your third method is gerschgorian disc method isn't it?