(Multiple Choice Question) Let {u1, U2, u3} be a basis for vector space V. Which of the following is also a basis for V? A) {u2,u3} C) {u1 –u2,u3 –u2,u1 +u3} B) {u1,u2,U3,u1 + Zuz + 3u3} D) {u1 –u2,u2 –"u3,U3 –"u1} - - E) None of these

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3. (Multiple Choice Question) Let {u1,u2, U3} be a basis for vector space V. Which
of the following is also a basis for V?
A) {u2,u3}
C) {u1 – u2,u3
B) {u1,U2, U3, U1 + 2u2 + 3u3}
–"u2,U1 +u3}
D) {u1 – u2, u2 –u3, u3 –u1}
E) None of these
Transcribed Image Text:3. (Multiple Choice Question) Let {u1,u2, U3} be a basis for vector space V. Which of the following is also a basis for V? A) {u2,u3} C) {u1 – u2,u3 B) {u1,U2, U3, U1 + 2u2 + 3u3} –"u2,U1 +u3} D) {u1 – u2, u2 –u3, u3 –u1} E) None of these
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