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VED1
E L-LOVELY-H math18-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N
[VII] ;e/bo w?fNqe; (Scalar Matrix)

T[j fteoD w?fNqe;, fi;d/ ;ko/ fteoD ;zxNe ;wkB j'DF, ;e/bo w?fNqe; ejkT[Adk j?.
T[dkjoD ti'A,

A = [a ij ] ;e/bo j't/rk i/eo a ij = 0, id'A fe i ≠ j; a ij = 2 id'A i = j

B = [a ij ] 3×3 , fiZE/ a ij = 0 id'A i ≠ j; a ij = k, id'A i = j T[d'A B ;e/bo
w?fNqe; j?.
[VIII] nX'fse'Dh w?fNqe; (Lower Triangular Matrix)
T[j tor w?fNqe;, fi;d/ w[Zy fteoD d/ T[Zgo d/ ;zxNe Iho' j'D, nX'fse'Dh w?fNqe; (Lower
Triangular Matrix) efjzd/ jB. T[dkjoD ti'A,

, fJZE/ a ij = 0; id'A i < j

Nk;e ss;we w?fNqae; dk fJZe T[dkjoD fby'.

[IX] T[gohfse'Dh w?fNqe; (Upper Triangular Matrix)
T[j tor w?fNqe; fi;d/ gqXkB fteoD d/ ;G ;zxNe Iho' j'D, w?fNqe; dk T[gohfse'Dh (Upper
Triangular) ejkT[Adk j?. T[dkjoD ti'A,

tor w?fNqe; A (eqw n × n )lfiZE/ ;zxNe a ij = 0 id'A i < j
[X] w?fNqe; fteoD :'r (Trace of a Matrix)
tor w?fNqae; d/ gqXkB fteoD d/ ;ko/ ;zxNeK dk i'VQ, w?fNqe; dk fteoD :'r ejkT[Adk j?.
T[dkjoD ti'A,

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