Which of the following statements are always true? (i) If A and B are 353 x 353 matrices with det(A) = 7 and det(B) = 8, then det(A + B) = 15. (ii) If A and B are nx n matrices with det(AB) 29 then det(B¬lA) = (iii) If A and B are 19 × 19 matrices then det(A + 6B') = det(6B + A').
Which of the following statements are always true? (i) If A and B are 353 x 353 matrices with det(A) = 7 and det(B) = 8, then det(A + B) = 15. (ii) If A and B are nx n matrices with det(AB) 29 then det(B¬lA) = (iii) If A and B are 19 × 19 matrices then det(A + 6B') = det(6B + A').
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 79E
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