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Competitive Stats
Q13Section ST (Statistics (Q11–Q65))13 of 65

Dimension of intersection of two hyperplanes

Consider the following two subspaces of R4\mathbb{R}^4: W1={(x1,x2,x3,x4):x1+x2+x3+x4=0}W_1 = \{(x_1, x_2, x_3, x_4) : x_1 + x_2 + x_3 + x_4 = 0\} and W2={(x1,x2,x3,x4):x1+2x2+3x3+4x4=0}W_2 = \{(x_1, x_2, x_3, x_4) : x_1 + 2x_2 + 3x_3 + 4x_4 = 0\}. Which of the following statements is correct?

Options

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