2. a11x1 a12x2 a13x3 ... a1N xN d1 a21x1 a22x2 a23x3 ... a2N xN
d2 a31x1 a32x2 a33x3 ... a3N xN d3 aM1x1 aM2x2 aM3x3 ... aMN xN dM
3. A a11 a12 ... a1N a21 a22 ... a2N ... aM 1 aM 2 ... aMN b b1 b2
... bM x x1 x2 ... xM 4. x1, x2, ..., xn 3 (i) (ii) (iii) 5.
Reducing the augmented matrix to reduced to row echelon form is
called Gauss jordan elimination method. 6. = = = , , 7. 2 5 3 1 2 2
8 x y z x y z 8. a11x1 a12x2 a13x3 ... a1N xN d1 a21x1 a22x2 a23x3
... a2N xN d2 a31x1 a32x2 a33x3 ... a3N xN d3 aM1x1 aM2x2 aM3x3 ...
aMN xN dM AX=0 m x n n x 1 m x 1 ....... ....... ....... .......
....... 9. one trivial infinite det (A) infinitely many 10. EX 2
Sol :- 11. z t t t 12. c Canada u United States b Brazil Month Time
within Canada (min) Time to the U.S. (min) Time to Brazil (min)
Charges ($) September 90 120 180 $252.00 October 70 100 120 $184.00
November 50 110 150 $206.00 00.206$15011050 00.184$12010070
00.252$18012090 buc buc buc 13. 0.80 0.60 0.40
