Let T:R3 - R3 be the linear operator defined by T(x1, X2, X3) - (16x1 - 16x2,16x2 - 16x1,16x1 - 16x3) Find the matrix for T with respect to the basis B = {v,, v2, V3}, where v, = (1,0,1), v2 -...


Subject: Linear Algebra


Let T:R3 - R3 be the linear operator defined by<br>T(x1, X2, X3) - (16x1 - 16x2,16x2 - 16x1,16x1 - 16x3)<br>Find the matrix for T with respect to the basis B = {v,, v2, V3}, where<br>v, = (1,0,1),<br>v2 - (0,1,1),<br>V3 = (1,1,0)<br>Give exact answers in decimal form.<br>

Extracted text: Let T:R3 - R3 be the linear operator defined by T(x1, X2, X3) - (16x1 - 16x2,16x2 - 16x1,16x1 - 16x3) Find the matrix for T with respect to the basis B = {v,, v2, V3}, where v, = (1,0,1), v2 - (0,1,1), V3 = (1,1,0) Give exact answers in decimal form.

Jun 03, 2022
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