3. If the statement is always true, circle True. If the statement is sometimes false, circle...

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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 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 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 ... View the full answer