find the determinant of 1 0 -4. 2 -1 3
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3
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A very important property of the determinant of a matrix, is that it is a so called multiplicative function. It maps a matrix of numbers to a number in such a way that for two matrices A,B,
det(AB)=det(A)det(B).
This means that for two matrices,
det(A2)=det(AA)
=det(A)det(A)=det(A)2,
and for three matrices,
det(A3)=det(A2A)
=det(A2)det(A)
=det(A)2det(A)
=det(A)3
and so on.
Therefore in general det(An)=det(A)n for any n∈N
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itz Mr.Pagal
Answered by
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Step-by-step explanation:
-3 is your answer
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