Let U1, U2, and Uz be distinct vectors in R³. When the equation c1u1 + C2U2 + c3U3 = 0 is written in matrix form and row-reduced, we obtain the following: 1 -5 U1 U2 Из 1 2 0 Choose all of the...


Let U1, U2, and Uz be distinct vectors in R³. When the equation c1u1 + C2U2 + c3U3 = 0 is written in<br>matrix form and row-reduced, we obtain the following:<br>1<br>-5<br>U1<br>U2<br>Из<br>1<br>2 0<br>Choose all of the following statements that are true. Please note that there may be more than one correct<br>answer.<br>U1 =<br>(1,0,0), u2 = (0, 1, 0). and uz = (-5, 2,0)<br>O C3 is the only free variable.<br>The set S<br>{u1, U2, U3 } is linearly dependent.<br>O C1 and C2 are the only free variables.<br>2u2<br>%3D<br>U3<br>-5u1 + 2u2<br>

Extracted text: Let U1, U2, and Uz be distinct vectors in R³. When the equation c1u1 + C2U2 + c3U3 = 0 is written in matrix form and row-reduced, we obtain the following: 1 -5 U1 U2 Из 1 2 0 Choose all of the following statements that are true. Please note that there may be more than one correct answer. U1 = (1,0,0), u2 = (0, 1, 0). and uz = (-5, 2,0) O C3 is the only free variable. The set S {u1, U2, U3 } is linearly dependent. O C1 and C2 are the only free variables. 2u2 %3D U3 -5u1 + 2u2

Jun 04, 2022
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