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12 Nov 2019
Let A = [1 0 1 0] and H = {M elementof M_22: A M = M A}. a) Prove that H is a subspace of M_22. b) Show that H = {[a + b a 0 b]: a, b elementof R}. c) Find the dimension of M_22.
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Patrina Schowalter
Lv2
4 Mar 2019
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a) Determine if S = { (x, y) elementof ^R2, 3xy - 5y = 0} is a subspace of R^2. Justify your answer. b) Determine if S = { (x, y) elementof R^2, 2x - 7y = 0} is a subspace of R^2. Justify your answer.
a) Determine if S = {(x, y) elementof R^2, 3xy - 5y = 0} is a subspace of R^2. Justify your answer. b) Determine if S = {(x, y) elementof R^2, 2x - 7y = 0} is a subspace of R^3. Justify your answer.
Define the subset S of the group GL_2 (R) by S: = {A Elementof GL_2 (R) | A = (a b 0 d) for some a, b, d Elementof R}. (a) Prove that S is a subgroup of GL_2 (R).
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Define the subset S of the group GL_2 (R) by S: = {A Elementof GL_2 (R) | A = (a b 0 d) for some a, b, d Elementof R}. (a) Prove that S is a subgroup of GL_2 (R).
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