, a linear operator and a scalar λ are given. Show that is an eigenvalue of the operator and determine a basis for its eigenspace. X1 x1 + 4x2 + 5x3 39. T X2 = 2x1 + 6x2 + 2x3 λ=3 X3 -2x1 - 10x2 - 6x3

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A: Step 1:Step 2:Step 3:Step 4:Step 5: Else anywhere, no common area hence A=0 Step 6:

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