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3. If the statement is always true, circle True. If the statement is sometimes false, circle False. In each case, write a careful and

3. If the statement is always true, circle True. If the statement is sometimes false, circle False. In each case, write a careful and clear justification or counterexample. (a) The determinant of the matrix A below is 40. 5 9 38 01 0 1 (b) If A and B are n x n matrices, then det (A + B) = det A + det B. True 1 6 3 A = 0 0 -2 0 9 (Hint: Cofactor expansion can be used, but is not needed.) 00 04-1 0000-1 (c) If n x n matrices A and B are row equivalent, then they have the same determinant. True False True False False

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Giren b A Giren matrix is am matrix So 5 9 3 1 O 0 2 0 0 O 0 Let A Hence statement ... blur-text-image

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