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題組內容

IV. Please read the following True/False questions and determine the correctness of cach description.

24. If A and B are square matrices, then

其他申論題

20. If A and B are any 2x2 matrices, then AB = BA.

21. The matrix is not invertible.

22. The matrix of the linear transformation T which reflects points about the x-axis and then about the y-axis is the same as the matrix of the linear transformation S which rotates points about the origin by 180 degrees counterclockwise.

23. If V is a set that contains the 0-vector, and such that whenever u and y are in V, then u t v is in V, then Vis a vector space.

25. If A and B are square matrices, then det(A + B) = det(A) +det(B).

26. For every t∈ (-20,55), the following series can be converged.

27. For every integer n≥ I, we have 10

28. For every integer n ≥ 1, we have

29. For every t∈ (-2,3), we have

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