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"Matrices" Class notes IIT JEE

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  • Course
  • IIT JEE
  • Institution
  • IIT JEE

These notes on the Matrices chapter are crafted by one of the best mathematics teachers in India. They are designed to help you excel not only in JEE Mains but also in JEE Advanced. Dive into these comprehensive notes to master the concepts and techniques essential for acing these competitive exams.

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Document information

  • November 8, 2024
  • 17
  • 2024/2025
  • Class notes
  • Ashish agarwal
  • All classes

Subjects

  • iitjee
  • jee
  • iit
  • jee2025
  • jeemains
  • jeeadvanced

Written for

  • IIT JEE
All documents for this subject (144)

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lokeshkumarsahu

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mATRICES

tes no:c element inA
oA) mnxn


#Squane matmx



A Q12




A colomn o
for element below 'agonalRono na
sl'agonalRownaccolomn
fr element above
called cenjugak element
ane
aij4af diagonal elementt
Sum of all
- Taace A Tx(A)




aeterninant i equal to faoduck
mata'x, itt
Fa taarngulkx

|4ik diagonal caties.


whete ale diggonal valus an equal,.ate
Diagonsl Mataix

calledScalay mafox


Ascalay mataia whose all diggonal ente ane anity a
Called
itati funit mabiz

, ngular
AS non




total oh elemens n2
total ha non-diagenalelements n n'-n'atn
#INOTEL

UMn n9- gencA in an wppeY or lowei tong ular Matnx




Min no cyphes in alkagonal scalar Junit matn



mox mo h 3erg ia Q tianguler matix dh oxdex
n n


#ALGGEBRA of mATRICES

Equaih h mati Two matas ane said be eqal if

heyhave samê oxder


A)coeshondig

, same oxcder
when A4R_ane
eal tio de fned only

foa A tr
elements
thex coxseAfom oing aditive in
Sald t be
awadded.
ve he d




eoch othex


o(A)=n

nonlg defhed fox sp matsik.


OTace A- laz
Ta(A) it


TolA +8) TxA)+ TaB)



IfA JA-BA
laij
t(-B) = A HB)




is egual to (ihmd A).4th Colamn &)

Roy (elomn)




2(2,3)" elemes a Row2 A Coloma 3e

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