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Question 1176910: could you help me tell me where my mistake is or if it's ok.
Consider the matrix:
-7 4 -6 4 -7
4 2 -3 0 -5
-3 9 10 -3 -4
-9 2 -5 -7 -6
(a) On the matrix above, perform the row operation −17R3+R1→R1. The new matrix is:
44 -149 -176 55 61
4 2 -3 0 -5
-3 9 10 -3 -4
-9 2 -5 -7 -6
(b) On the original matrix, perform the row operation −7R3→R3. The new matrix is:
-7 4 -6 4 -7
4 2 -3 0 -5
21 -63 -70 21 28
-9 2 -5 -7 -6
(c) On the original matrix, perform the row operation R1↔R2. The new matrix is:
4 2 -3 0 -5
-7 4 -6 4 -7
-3 9 10 -3 -4
-9 2 -5 -7 -6
Answer by ikleyn(52877)   (Show Source):
You can put this solution on YOUR website! .
(a) is correct.
(b) is correct.
(c) is correct.
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Everything is correct.
My congrats (!)
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By the way, in Linear Algebra such transformations on matrices are called
E L E M E N T A R Y T R A N S F O R M A T I O N S.
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