Q14.Let v1,v2,v3 be linearly independent vectors in R3. Let A∈M3×3(R) be a matrix such that v1−v2, v2−v3, v1+v2 are the columns of A. Let B∈M3×3(R) be a matrix such that v1+v2+v3, 2v1+3v2, 2v3−v2 are the columns of B. Which of the following options is correct?
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Q14
23 Feb 2025
Q14.Let v1,v2,v3 be linearly independent vectors in R3. Let A∈M3×3(R) be a matrix such that v1−v2, v2−v3, v1+v2 are the columns of A. Let B∈M3×3(R) be a matrix such that v1+v2+v3, 2v1+3v2, 2v3−v2 are the columns of B. Which of the following options is correct?
