## Question

###### 1. Lct A, B and â‚¬ bc matriccs, with det(4) = 7, dct(B) = and det(C) =-5. Find cach of thc following quantitics and answcr thc accompanying qucstions _ Your work should clcarly justify thc rcsult using thc dctcrminant_ propertics rclatcd t0 matn- multiplication:det(30). must bc clcar how this can bc detcrined from thc givcn valuc of det(C) matrix multiplication and rclatcd dctcrminant propcrtics .det(A-!) det(B -= and det(4-'C-I)If CX = A, what is det( X)?

1. Lct A, B and â‚¬ bc matriccs, with det(4) = 7, dct(B) = and det(C) =-5. Find cach of thc following quantitics and answcr thc accompanying qucstions _ Your work should clcarly justify thc rcsult using thc dctcrminant_ propertics rclatcd t0 matn- multiplication: det(30). must bc clcar how this can bc detcrined from thc givcn valuc of det(C) matrix multiplication and rclatcd dctcrminant propcrtics . det(A-!) det(B -= and det(4-'C-I) If CX = A, what is det( X)?

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