Which of the following are vector spaces? i) {x, y, z) LaTeX: epsilon e R3 LaTeX:...
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Which of the following are vector spaces? i) {x, y, z) LaTeX: \epsilon e R3 LaTeX: \mid | 2x - 3y +z = 0}, together with usual vector operations of R3 ii) {(x, y, z) LaTeX: \epsilon e R3 LATEX: \mid | xyz =0} together with usual vector operations of R3 iii) { LaTeX: \begin{vmatrix} 0&a\\ b&c\\ lend{vmatrix} | 0 abc| LaTeX: \epsilon e M22 LaTeX: \mid | a, b, c LaTeX: \epsilon e R} together with usual vector operations of M22 Which of the following are vector spaces? i) {x, y, z) LaTeX: \epsilon e R3 LaTeX: \mid | 2x - 3y +z = 0}, together with usual vector operations of R3 ii) {(x, y, z) LaTeX: \epsilon e R3 LATEX: \mid | xyz =0} together with usual vector operations of R3 iii) { LaTeX: \begin{vmatrix} 0&a\\ b&c\\ lend{vmatrix} | 0 abc| LaTeX: \epsilon e M22 LaTeX: \mid | a, b, c LaTeX: \epsilon e R} together with usual vector operations of M22
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