mhsjdm5881 mhsjdm5881

23-10-2017
Mathematics

contestada

Suppose a and b are 3x3 matrices, with det(a) = 5 and det(b) = 3.
a. det(2a) = ? 4 pts
b. det((ab)-1) = ?

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LammettHash LammettHash

27-10-2017

[tex]\det(2\mathbf A)=2^3\det\mathbf A=8\times5=40[/tex]

[tex]\det(\mathbf{AB})^{-1}=\dfrac1{\det\mathbf{AB}}=\dfrac1{\det\mathbf A\det\mathbf B}=\dfrac1{5\times3}=\dfrac1{15}[/tex]

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