Linear Algebra : Rank of a Matrix

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In this video session, we have seen how to calculate the Rank of a Matrix in Linear Algebra. Basically, Rank of a Row is always comes equal to Rank of a Column and Hence we calculate as a whole Rank of a Matrix.

We have seen few basic example for Square Matrix and a Rectangular Matrix.

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Thanks for the support keep doing this noble work...

ChaandChopra

At 5:04 you conclude that the rank of the Matrix A is 2. Shouldn't you compute the determinant of all the (2x2) submatrices to get such a conclusion? Could it be rank 1 if the determinant of one submatrix (2x2) would have been 0? If the linear dependance is between colums 2 and 3, you will miss it with your approach no? Thank you

biuvug

Excellent.. Thanks for such a great video.

MrManishRohra

You were awsme during video ...superb explanation 😎

vinityadav

it is nicely explained... better then other tried👍

sidharthk.burnwal

in last matrix how the determinant is 0 if rank is 2 .. first you said that is determinant is not 0 then rank will be order of matrix..please explain ..

arjunkataksh

sir i've seen more videos on how to find rank and in other videos they are reducing and performing row or column transformations and converting elements to 0 but you havnt taken any single example on that, so is it necessary to convert an element to zero???plzz reply me

ajaychaurasia

What to do if matrix is of 3×4? Should i choose a 3×3 matrix from that n then solve it by determinant method? Or use different method?

maheshkalokhe

bEST VIDEO TO LEARN RANK OF A MATRIX CLEARED ALL MY CONCEPTS

RAHULMAHESHWARIdexter

Please give short tricks to find out eigen vector of matrix

krqhealthcare

Thanks for the video and fundamental rule you mentioned @ 5:17.

anandchitchat

example for 4 x 4 matrix? how do i calculate the rank?

katrhiknaidu

hello sir in last matrix how the detrerminant is taken as 2 please explain?

bikash

Sir in last part . when rank of matrix is1 then how to find out 'x' value

MohammadIrfan-giti

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equal*
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asyncasync

what if there is a case in 5:11 that 2X2 determinant is 0?

divx

can a rank of a matrix be zero??? if so u didn't mention it in the video

risingphoenix

give an example of 3*3 matrix with rank 1 and rank of a 3*4 matrix

arindamtalukdar

In last example how to calculate x=3 I could not understand pls explain last example once again breifly

kbraaz

mxm how can u assume tht we already this shit!

sibulelemboyi

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