Q.no. 6 (a) IF TROR BE THE MATRIX TRANSFORMATION T(X)= AX, FIND KER (T) AND RANCE OF J (ACT)). (b) SEE THE DEFINITIONS O

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Q No 6 A If Tror Be The Matrix Transformation T X Ax Find Ker T And Rance Of J Act B See The Definitions O 1 (327.91 KiB) Viewed 23 times

Q.no. 6 (a) IF TROR BE THE MATRIX TRANSFORMATION T(X)= AX, FIND KER (T) AND RANCE OF J (ACT)). (b) SEE THE DEFINITIONS OF NULLITYCT) AND RANK (T) CP: 378 8TH ED., P. 397 7TH ED.) WHERE T IS A LINEAR TRANSFOP- MATION (C) USING PARTS (a eb) TRY THE FOLLOWING IF AIS AN mx MATRIX AND T: GRIS MULTIPLICATION BY A, THEN O NULLITY(A)= NULLITYCT) GD) RANKLA)- RANICT/ @ USINE PART(A), TRY THE FOLLOWING LET TR>R? BE THE LINEAR OPERATOR DEFINED BY THE FORMULA T(4,82,83) = (x1+xz fK3, %,+73,2,+Xz+373). FIND BASES FOR THE KERNEL AND RANCE OF HINT: WRITE DOWN FEAXT [X +72+27371 i 2121 x+ l2x,+*2+373] [2131123) AND PROCEED. +((3)-1 KitK3 lloj