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Q52Section C (Section C)52 of 60

Rank of a matrix built from four row vectors

Let M=∑i=14XiXiTM=\sum_{i=1}^4X_iX_i^T, where X1T=[1−110]X_1^T=[1 -1 1 0], X2T=[1101]X_2^T=[1 1 0 1], X3T=[1310]X_3^T=[1 3 1 0] and X4T=[1110]X_4^T=[1 1 1 0]. Then the rank of MM equals ____________

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