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Mathematics for Data Science II, End Term

January 2022 term, 3 Apr 2022, Set AN1

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Question 1

+3−0Multiple correct

Choose the correct options from the following:

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Select all that apply.

A.
Consider two matrices A and B. If both the matrix multiplications AB and BA are well-defined then A and B are square matrices.
B.
Consider two matrices A and B of order n. If A is not invertible, then AB is not invertible.
C.
Consider two matrices A and B of order n. If AB = B, then B = I, where I is the identity matrix of order n.
D.
There exists a 2 × 2 matrix A ≠ I such that A³ = I, where I is the identity matrix of order 2 × 2.

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Choose the correct options from the following: Table matching vector subspaces of R^3 with their bases and dimensions (Table M2D1) Choose the correct options from the following: