Asked by rho
Let A and B be 3 * 3 matrices, with det(A) = 2, det(B) = 3.
Then det(5 A B^{-1}) =
a) none of these
b) 30
c) 250/3
d) 10/3
e) 2/3
Then det(5 A B^{-1}) =
a) none of these
b) 30
c) 250/3
d) 10/3
e) 2/3
Answers
Answered by
oobleck
since
|B<sup><sup>-1</sup></sup>| = 1/|B|,
|AB| = |A|*|B|
|nA| = n^2 |A|,
the results is
5 * 2 * 1/3 = 10/3
Better study up some more on properties of determinants.
|B<sup><sup>-1</sup></sup>| = 1/|B|,
|AB| = |A|*|B|
|nA| = n^2 |A|,
the results is
5 * 2 * 1/3 = 10/3
Better study up some more on properties of determinants.
Answered by
ooblack
Actually
|nA| = n^3 |A| because it is a 3*3 matrix.
Seems like you better study up some more on properties of determinants
|nA| = n^3 |A| because it is a 3*3 matrix.
Seems like you better study up some more on properties of determinants
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