Question

X and Y are n x n matrices and det X^T = 3 and B^-1 =...

X and Y are n x n matrices and det X^T = 3 and B^-1 = 2

T F det(X^2 Y^2 (X^-1)^T) = 12

T F detX/(detY^T) = 6

T F det(X^3 Y) = 27/2

T F det(X^-1 Y^2 X ^T) = -4

T F det(X^-1 B^T) = 6

T F det(XY) = 3/2

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Answer #1

Since 3 because Given det x f det y = 2 (del x1 = 3 therefore { del x = 3 del xo del xl also del y therefore (del y = 4 becaudet (xl y² x) = -4 Since, det (x1 y 2 x T) det (x1) (blet y ² det (x²) Ž 61² -it ( Mence, det (xt y 2 x T) = = -4 Therefore i

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