Question: Find a condition on the vector b which ensures that the following system has a solution: x + 2 z= b1 xty = 62 -11

Find a condition on the vector b which ensures that the following system has a solution: x + 2 z= b1 xty = 62 -11 x - 2y - 18 z = b3 The condition should be a linear condition, that is, something of the form 261 - 1762 + 3563 = 0. In fact, the condition is -9*b[1] - 2*b[2] - b[3]=0 O Notes: . The Matlab syntax for 2b1 - 17b2 + 35bg = 0 is 2*b [1] - 17*b [2] + 35*b [ 3]=0 . . You can use the preview button to preview your answer. Geometrically this condition on the vector b represents O a line in three-dimensional space O a general plane in three-dimensional space o a plane through the origin in three-dimensional space
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