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SNOOTCHIEBOOCHEE
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Elementary Matrices: Let A be a mxn matrix. Write down mxm matrices Ers, Dr([tex] \lambda [/tex]) and Trs([tex] \mu [/tex])
Ers Swaps rows r and s,
Dr([tex] \lambda [/tex]) multiplies row r by [tex] \lambda [/tex]
Trs([tex] \mu [/tex]) adds [tex] \mu [/tex] times row s to row r
compute the determinant of the three matrices you found
I don't have trouble with the determinant part of this problem. i am however stuck finding Ers and Trs. i also am not sure if my soltion for Dr (lambda) is correct. i got the following (assuming row r is the top row and mxm=3x3)
Ok latex doesn't like me so the matrix looks like this
[ Lambda , 0 , 0
0 1 0
0 0 1]
PS I am not proficient in latex at all so this might not work
Ers Swaps rows r and s,
Dr([tex] \lambda [/tex]) multiplies row r by [tex] \lambda [/tex]
Trs([tex] \mu [/tex]) adds [tex] \mu [/tex] times row s to row r
compute the determinant of the three matrices you found
I don't have trouble with the determinant part of this problem. i am however stuck finding Ers and Trs. i also am not sure if my soltion for Dr (lambda) is correct. i got the following (assuming row r is the top row and mxm=3x3)
Ok latex doesn't like me so the matrix looks like this
[ Lambda , 0 , 0
0 1 0
0 0 1]
PS I am not proficient in latex at all so this might not work
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