anonymous
  • anonymous
Hi Guys, we had this question where we they gave us two matrices which I will show below, first one has a determinant of 4 and we needed to select and answer for the determinant of the second matrix, my answer was 4, the lecturer's answer was 24. If the matrix | a b c || d e f | = 4| g h i | What is the below matrix equal to?| (g+2a) (h+2b) (i + 2c) | | 3a 3b 3c | | 2d 2e 2f | appologies it does not seem that this question displays correctly...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
sorry don't know matrices
dumbcow
  • dumbcow
doesn't it have to be a square matrix to find determinant ?
anonymous
  • anonymous
It is square just did not display correctly above: Matrix 1) Row1: |a b c| Row2: |d e f| Row3: |g h i| Matrix 2) Row1: |(g + 2a) (h + 2b) (i+2c)| Row2: |3a 3b c3| Row 3: |2d 2e 2f|

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dumbcow
  • dumbcow
oh got it, thanks
dumbcow
  • dumbcow
so this deals with how row operations on a matrix affects the determinant http://en.wikipedia.org/wiki/Determinant#Properties_of_the_determinant anyways moving the rows has no affect adding rows has no affect multiplying a row by constant changes determinant by same factor
dumbcow
  • dumbcow
2*3 = 6 so the determinant is changed by factor of 6 4*6 = 24
anonymous
  • anonymous
Thanks! I will go back and have a look at this, so even though a matrix is multiples of another, the determinant will not be equal?
dumbcow
  • dumbcow
no because in the process of getting derterminant you are multiplying those coefficients which increases the determinant of new matrix proportionately

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