Jasper Eng's answer to YS Lim's CIE A Level Math Malaysia question.
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Row operation on Matrix can be represented on row operation on Identity matrix:
R(A) = E(A)
(Elementary matrices, combining them)
A) swapping the rows:
Swapping identity matrix row:
0 1
1 0
B) scale first row by -1; second row by 2:
Apply on identity:
-1 0
0 2
C) swap rows;
scale 1st row by -3; second row by 2:
Apply on Identity:
0 -3
2 0
R(A) = E(A)
(Elementary matrices, combining them)
A) swapping the rows:
Swapping identity matrix row:
0 1
1 0
B) scale first row by -1; second row by 2:
Apply on identity:
-1 0
0 2
C) swap rows;
scale 1st row by -3; second row by 2:
Apply on Identity:
0 -3
2 0
Date Posted:
2 years ago
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