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Q27Section ST (Statistics (Q11–Q65))27 of 65

Rank of a linear map

Let T:R3→R3T : \mathbb{R}^{3} \to \mathbb{R}^{3} be a linear map defined by T(x1,x2,x3)=(3x1+5x2+x3,  x3,  2x1+2x3)T(x_1, x_2, x_3) = (3x_1 + 5x_2 + x_3, \; x_3, \; 2x_1 + 2x_3). Then the rank of TT is equal to __________ (answer in integer).

Numerical answer: type the number (no options).

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