The subspaces of R3 are planes, lines, R3 itself, or Z containing only (0, 0, 0).(a) Describe the three types of subspaces of R2 .(b) Describe all subspaces of D, the space of 2 by 2 diagonal matrices.

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The subspaces of R3 are planes, lines, R3 itself, or Z containing only (0, 0, 0).
(a) Describe the three types of subspaces of R2 .
(b) Describe all subspaces of D, the space of 2 by 2 diagonal matrices.

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