Question: Consider the three upper-triangular matrices A 1 ,A 2 ,A 3 below. Determine whether they are linearly independent. If they are linearly independent, enter three
Consider the three upper-triangular matrices A 1 ,A 2 ,A 3 below. Determine whether they are linearly independent. If they are linearly independent, enter three zeros below. If not, find three numbers (not all zero) such that the following equation holds: 0=r 1 A 1 r 2 A 2 r 3 A 3 where 0 is the zero matrix. A 1 A 2 A 3 = 2.00 0.00 0.00 0.00 1.00 0.00 0.00 0.00 1.00 = 1.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 1.00 = 1.00 0.00 0.00 0.00 1.00 0.00 1.00 0.00 1.00
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