For each of the following statements determine if it is true or false. If it is true, prove it. If it is false, give an example showing that the statement is false. a) If A, B, C, D are square matrices of the same size then det =det (AD)-det (BC). b) Let a,b,c,d,e.f.g.h,i € (0,1,2,3,4,5,6,7,8,9). If each of the 3-digit numbers abc, def, and ghi is divisible by 10 then b det de e) Let a,b,c,d,e,f.g.h,i € (0,1,2,3,4,5,6,7,8,9). If each of the 3-digit numbers abe, def, and ghi is divisible by 7 then the determinant below is divisible by 7. b det de f 1

For each of the following statements determine if it is true or false. If it is true, prove it. If it is false, give an example showing that the statement is false. a) If A, B, C, D are square matrices of the same size then det =det (AD)-det (BC). b) Let a,b,c,d,e.f.g.h,i € (0,1,2,3,4,5,6,7,8,9). If each of the 3-digit numbers abc, def, and ghi is divisible by 10 then b det de e) Let a,b,c,d,e,f.g.h,i € (0,1,2,3,4,5,6,7,8,9). If each of the 3-digit numbers abe, def, and ghi is divisible by 7 then the determinant below is divisible by 7. b det de f 1

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.CR: Chapter 10 Review

Problem 7CR

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