Question: please help me with the questions that are highlighted. please write neat and clear. this is for matlab 2) Recall the following theorem: If B

 please help me with the questions that are highlighted. please write

neat and clear. this is for matlab 2) Recall the following theorem:

please help me with the questions that are highlighted. please write neat and clear. this is for matlab

2) Recall the following theorem: If B is an mn matrix, then the following are equivalent: i) Columns of B are linearly independent. a) Determine if the following vectors are linearly independemt V1 = (1, 3,-2, 0, 2) 2-(2,6,-5,-2,4) vs(0,0,5, 10, 0) V4 = (2, 6, 0, 8, 4) (Note: form a matrix B1 whose columns are the vectors v1, U2, v3, v4, then find det(B1'B1). Type: B1-13 -20 2;26-5 -2 4;00510 0;26 0 8 4 Type: ii) B'B is an invertible matrix. Type DET BITB1 = det(B1TB1) If B1' B1 is not invertible Type %B1TB1 is not invertible If Bl'B1 is invertible Type b) Determine if the following vectors are linearly independent. ul = (0, 0,-2, 0, 7, 12) = (24,-10, 6, 12, 28) vs - (2,4,-5,6,-5,-1) Repeat the steps in part(a) Form a matrix B2 whose columns are the vectors vi,v2, v3, then find det (B2'B2) Type above: Type DET B2TB2 = det(B2TB2) If B2'B2 is not invertible Type %B2TB2 is not invertible If B2' B2 invertible Type 18

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