Question: Please answer in detail. 2.32 Prove that the given sets W are subspaces of R for the appropriate 11. Find spanning sets for these spaces

Please answer in detail.

2.32 Prove that the given sets W are subspaces of R" for the appropriate 11. Find spanning sets for these spaces and nd at least two different bases for each space. Give the dimension of each space. Reason as in Example 2.5 on page 116. c. W = {[a + b + 2c, 2a + b + 3c, a + b+ c]' | a,b,c ER) W = {[a + 2b - 4c + 5d, -2a - 2b + 2c - 6d, 6a + 4b + 14d, 3a + b+ d. 3c + 5d] | a, b, c, d ER)

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